In the following, the dot notation is used to indicate the time derivative of a function, i.e. f %3D at 1. Consider the following multi-variable function, f(x,x,t) = 20xx + x³t + 5x+x Calculate the following: a. af /ət b. af /əx c. ôf /ðx d. ) С. dt \əx.

Q: Find the derivative of the following functions. 1. y = (6x² + 7x)* 2. g(t) = (41² – 3t + 2)2 3. y =…

A: Derivatives

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A: Given  fx,y = -3x2+4y3+2xe32y

Q: In the following, the dot notation is used to indicate the time derivative of a function, i.e. ƒ =…

A: Given- Consider the following multi-variable function, fx, x˙, t = 20xx˙ + x3t + 5x + x˙ To find-…

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Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: What is the approximate derivative of f(x) = x²ex, using backward-difference approach at x=2 and a…

A: The formula for the backward difference is f'x=fxi+1-fxih Now, h=0.1xi=2xi+1=xi+h=2+0.1=2.1fx=x2ex

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Q: Find the derivative of the following functions. F(x) = √²** 1. √/20162). 2. G(x) = 3. H(x) = L √t³ +…

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Q: Use the Power Rule to compute the derivative.

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Q: Which among the following functions has the derivative of de = (9z - 452 + 272) ( - 2) + (= - 2)*…

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Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: + (z), V1– 2z y =1- cos (z) + /1 – 2z

A: Given : y = xcos-1x+1-2x

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A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

Q: 2. y = 1 (tanh~' 2x)3

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Q: By using the definition of the derivative, use a clear diagram to argue that d S(t)dt = f(x). %3D dx…

A: We have to prove that ddx∫axftdt=fx This will be prove by Newton's Leibnitz rule in this rule we…

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A: The objective is to find the derivative of given function

Q: Calculate the derivative by expanding or simplifying the function. s(t) = 1 - 2(7t) / (7t)^1/2

A: Given function st=1-27t7t The given function can be written as: st=17t-2·7t7t=17t-2t=17t-12-2t12…

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A: Find the derivative of the function

Q: Find the derivative of the function.

A: we have to find the derivative of the function F(x)=∫1x1+t4dt

Q: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

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Q: Evaluate the derivative of mq4.4.png cosh (bVx3 f(x) = a ln sinh(cx2) if a = 69, b = 0.6, and c = 6…

A: Given function: fx=alncoshbx3sinhcx2 To find: The derivative of the function f'(7) using…

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Evaluate the derivative dt -for the function y = 4vī cosh vĩ – sinh(t²).

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Q: Vr +3 f (x) = f'(1) I – 4

A: To evaluate: f'(1) Given: f(x)=x+3x−4 We know that quotient rule of differentiation states that…

Q: I. Find the derivative of the given function by definition f (s) = (5s" + 2)(2s" – 1) Where r is the…

A: Function:                          f(s)=(5sr+2)(2sr-1)   Here :                           r=4;

Q: Find the derivative of the function.

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Q: Use the Quotient Rule to calculate the derivative for the function g(t) = +4 at t = 1.

A: Given : gt = t4+4t4-4

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

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Q: Use the Quotient Rule to show that the Powers of x Rule appies to negative Integer powers. That s,…

A: The given function is fx=1xk   where k>0. Quotient rule says that ddxfg=gdfdx-fdgdxg2.

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A: We can find the derivative by quotient rule.

Q: Use the Quotient Rule to calculate the derivative.

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Q: find the derivative using the definition ƒ(t) = 1/2t + 1

A: Given:ft=12t+1Derivative definition:f'x=limh→0fx+h-fxh

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Q: Use the Quotient Rule to compute the following: d t2 +1 dt t2 – 1 The derivative is:

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Q: Let f(x) = 8x +x – 7. Find the derivative of f by using the formula %3D and check your result by…

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Q: Find the derivative df/dt. * f (t) = 2' + In (t)

A: Given f(t)= 2t+lnt

Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: Use the Product Rule to compute the derivative: d Find dt (² + 1)(t + 9)) at t = 9

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Q: 3) Use the definition to find the derivative of f(t) = +1 t+1 %3D

A: f'(t) = -1/t2

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Q: at dz = (4자) 424-4%.

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Q: Use the limit definition of the derivative to find the instantaneous rate of change c f(x) = 4x + 7x…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Use the forward-difference formula to approximate the derivative of f(x) = In(x) at xo = 1.8 using…

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Q: asin (bvx3 f(x) = c2x + In(kx) if a = 11.23, b= 3, c = 2, and k = 5 at x=1 using CDA with Ax =0.06.

A: We have to evaluate the second derivative of  fx=asinbx3c2x+lnkx at x=1 using central difference…

Q: Differentiate the following function:y=12M+Ee^t,where M and E are given constants.Enter the…

A: We have been given a function and we need to find its derivative. In this function, M and E are…