Consider the equation below, which defines a function f(x) implicitly. Use the derivative rules to find f'(x) implicitly in terms of x and f(x). (Hint: (f(x))3/2] is computed using the chain rule). (S(z))*/2 – 3.x f (x) = 17 – x

Q: Find the derivative of the function.

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A: Given : f(x)=(3x+1)ln(4x+3)

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Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

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A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

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A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

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A: By see this solution

Q: Find derivatives of the functions defined as follows: y =(3x3 - 4x)e-5x

A: Given:          y=3x3-4xe-5x Let:  y=f(x)=3x3-4xe-5x Product rule of differentiation is given by…

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A: Consider the given function, fx=2x+1 differentiate with respect to x, f'x=ddx2x+1=122x+1·2=12x+1…

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

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A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

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 function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

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A: Let's find.

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A: Here I explained how to find dx/dy.

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

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Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

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Q: y = V5х+7

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Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

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Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

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Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)