Find the derivative of the function. h(e)- (-1) ( 1) +]

Q: Find the second derivative of the function. f(x) = e−3x + e4x

A: Given below the detailed solution

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: h(x)=In( x² ) +(x³-1 ) es*-10 Calculate the derivative at x=2, that is h'(2)=

A: Use chain rule of differentiation First differentiate with respect to x and then put x =2

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

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

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

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Q: 7) Find the derivative of each function a) y=x'e

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Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

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Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: g +2 Find the derivative of h(x) = ln

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Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: find the derivative of the following: f(x) = e^x (2x^2-x+3)

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Q: calculate the derivative. g(x) = e2

A: We know that the derivative of a constant is zero. This result is used to prove the given statement.

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

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Q: e Find the derivative of the function g(x) = 2+ 3x g'(x) =

A: See solution below

Q: Find the derivative of the function. h(x) = (x12 - 1) ª %3D h'(x) =D

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Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

Q: Find the derivative of g(x) = e VIn x. %3D

A: gx=exlnx

Q: Find the second derivative of the function. g(x) = 9/x + e6× In(x) g"(x) = %3D

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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: Find the derivative of the function g(t) = et et+e-t

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Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: Find the derivative of the function. h(x) = log,(x² + x) h'(x) %3D

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Find the derivative of the function. 2 1 3 h(x) x3 h'(x) =

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Q: Calculate the derivative. g(x) = e2

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Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x (a)…

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Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is a parabolic graph and…

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: Find the derivative of each function. c) f(x)= e^x- e^-x/e^x+e^-x

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Q: 2. Consider the function f(x) = e¯*. -2x (a) Show that the derivative is f'(x) = %3D

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