Find the derivatives of the following functions using CHAIN RULE. f(x) = (4x2-5x)3

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

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: Find the derivatives of the functions z = 4 - 3x/3x2 + x

A: Let

Q: Moreover, suppose F(x) = f(g(x)) and G(x) = g(f(x)). Use the chain rule to calculate the following…

A: f(x)=cot x  and  g(x)=5x-2

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: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)

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Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: y=57x3+1-3

Q: use the chain rule to find the derivative of the following function: f(x)=10cos^3(4x)

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Q: .) What is the inner and the outer functions? b.) What is the derivative o

A: Given : The function is f(x) = x2+ 3x +1 .

Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2)     a=1

A:

Q: Find derivatives of the functions defined as follows:

A: Given: fx=ex3x+2

Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: Find derivatives of the function defined as follows. y = 5e-4x

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find derivatives of the function defined as follows. y = e-8x

A: We have to find derivatives of the function: y=e-8x We know the formula of derivatives,…

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…

Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

A:

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

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Q: Find the derivatives of the following functions: 5. x3 + y = 2x³ y³ %3D

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Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

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

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Q: Find the derivatives of all orders of the functions y = (x - 1)(x + 2)(x + 3)

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: g. f(x)=(1–3x)°(x²-2)°

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Use the chain rule to find the derivative of f(x)=3e^−4x^9+3x^3   f'(x)=

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Q: find the derivatives of the given function. g(x)= e2xln(x4)

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Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

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Q: find the second order derivatives of function f(X)  exsinxcos2

A: To find the second derivative of the below function. fx=exsinxcos2x

Q: Evaluate the derivatives of the given function for the given value of x.  y = (x^2-3x+3)…

A: y = (x² - 3x + 3)(5 - 5x - 2x²) So, y' = (2x - 3)(5 - 5x - 2x²) + (x² - 3x + 3)(- 5 - 4x)

Q: Find the derivatives of the functions y = 2e-x + e3x

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Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: Find the derivatives of all orders of the functions y = x4/2 - 3/2x2 - x

A: Important point: derivative of xn = d(xn)/dx = nx(n-1)

Q: Find derivatives of the functions defined as follows: y = 4-5x+2

A: Given: y=4-5x+2

Q: Find the derivative of g(x) = 4x 1+4* •

A:

Q: Find the derivatives of the functions p = √3 - t

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Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: Find the derivatives of the functions y = (2x + 1)√2x + 1

A: we have to find the derivative of y=(2x+1)2x+1

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…

Q: a derivative computation using the FTC and the chain rule t): df 13

A: Given : ddxFx3 =ddx∫13x3e-t2dt

Q: Use the Chain Rule to find the derivatives of the following functions. If h(x) = (3x + 1)", then h'…

A: Given

Q: Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e.…

A: Given: c. fx=lnx2+4ex d. y=axebx e. y=e3x3-x2+5x-6 To find : Derivatives using chain rule. Formulas…

Q: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 - 4

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Q: Find the derivative of the function. g(x) = 2(3 - 8x)

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Q: Find the derivatives of the functions y = 1/(x2 - 1) (x2 + x + 1)

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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)

Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the derivatives of all orders of the following y=(x-5)(x+1)(x+6)

A: Given  y=(x-5)(x+1)(x+6)