Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the 1/4+2 to the 1/2

Q: Q Find the derivativeof y)with respect tox; in the foltowina function s and u=3X 2 Find dy for the…

A: Given that  The functions  As for the guide lines to solve the one question but here I am solving…

Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: find the first derivative of the function: F(x)= (1+t^2)^-3 (t-1/square root t)^4

A: From the given problem:   ft=1+t2-3t-1t4   From the product rule:   f·g'=f'·g+f·g'   So,…

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: 12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

A: Topic:- calculus

Q: 8 Find the derivative of the function: 1) g(x) = V1+ t² dt 2) g(x) = d 3x 1 1+4 3) g(y) = , tsin2tdt

A: Apply lebneitz integral rule

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: The derivative of y tanhf(x?)) equals ー1 Select one: x²f'(x) + 2xf (x) = = (x),ƒ xz 1-x² 2x f'(x?)…

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Q: 4) fG) = (2x+ 1)9 %3D

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Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: 2. Compute the second derivative using forward, backward, central difference and Taylor for the…

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Q: I the second derivative of the function F(t) = 7tsin(º). ver F"(1) =

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Q: II. Find the first, second and third derivative of the function s = 3(8t" – 7)"

A: s = 3(8t4-7)4

Q: Find the function with the given derivative whose graph passes through thế polnt P. f (x) = 2x – 3,…

A: Given function: f'x=2x-3 And passes through the point P3,4

Q: Determine the second derivative of the following and find the absolu extreme values for the…

A: The given function is i) g(x)=1x-1x3 ; -2.5≤x≤-1 and 0.5≤x≤1.5  for g(x)

Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Зх + 7 Calculate the derivative of f(x) at x = 0. Give an exact answer in decimal form. 4х — 5 f'(0)…

A: *The given function f(x) is, f(x)=3x+74x-5 Apply quotient rule on the above function to get the…

Q: 3(34 to Y= ! 2% e dy

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Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel

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Q: Q1) Find the derivative of the following: x2 +3 y = 7 (x – 1)3 + (x + 1)3

A: I have simplified first then differentiate

Q: 4.) f (x) 3D х2 – 1

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Q: у 3 2Таn(0.5х) — х II

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Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

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Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

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Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

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Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

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Q: 2.) f (x) %3D х

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Q: Find the derivative of the function g(x)=x2∫0√1+t2dt.

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Q: 8) f(x)= T+x²

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Q: Find the derivative of the following function. 2 ex -5 f(x) = 2 ex +5 (Type an exact answer.)

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Q: Find the derivative of the given function.   f(z)=−1/z^4.1

A: Recall the rule for differentiating powers when the exponent is a positive integer

Q: B) Find the Derivative by using the definition for the following 1-x function f(x) = 2x Then find…

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Q: 3.) f (x) 3 5х — 3

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Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: Q5. Using forward, backward and central difference formula, determine the first order derivative at…

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Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: 4) /() =2-2 3. 5) y = x*+2x+1 6.) f(x) =

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

Q: Compute the derivative of the function f(x) = S7+3x²' at the point 4, using the definition. Ex. 2.…

A: Derivative.

Q: 1.determine the derivative of each of the following functions n. f(x) = (x + 1) 2. finds the…

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Q: 2. Determine the true error and the relative true error of the first derivative of f(x) = 2.5-* %3D…

A: Solution is below

Q: x² +2x+1 6.) f(x) = 3

A: Given :f(x)=x2+2x+13

Q: The actual error when the first derivative of f(x) = x-2lnx at x = 2 is approximated by the…

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Q: e) The function f(x) = log(x)log(x) with x %3D Jse fzero to find a zero of its derivative. What is…

A: The given function is f(x)=log(x)log(x); with x≥1