Solve for the derivatives of the following functions. Write your answers on a separate sheet of paper. 8. y = 9. у%3 (бх3 — х)(10 — 20х) 10.у %3D (x3 — 6х)(2 — 4x3)

Q: Find the derivative of the function.

A: Use the formula of product rule to find the derivative that is df(x)×g(x)dx=f'(x)×g(x)+f(x)×g'(x)…

Q: Find the derivative Of y=4e^-0.3t

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Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

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Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivatives of the functions in Exercise

A: Given function is w=1z1.4+πz. To find the derivative of the functions.Solution: Power rule of…

Q: Find the derivative of y=-3/(t-2)4

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Q: Find the derivative of the following functions: y=(3x-2)(2x^2-1)(x^3-5x^2)

A: Given y=3x-22x2-1x3-5x2 Let u=3x-2   v=2x2-1   w=x3-5x2 u'=3   v'=4x   w'=3x2-10x We know that…

Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

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Q: Find the derivative of the function y=2x+12x−1 at x=1.

A:

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Find the second derivative of the function y=4√x+1.

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Q: Find the derivatives of the functions y = (x + 1)2(x2 + 2x)

A: Given function is y=x+12x2+2x We have to find derivative of given function. To differentiate the…

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

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Q: Find the derivatives of the functions y = √2e√2x

A: Given: y=2e2x we know that  ddxekx=kekx

Q: 5. Find the derivative of y= x' +2x -1

A:

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: Find the first derivative of the following functions and simplify your answer. y=* 5x-2 y=(2x2 –…

A: Solution: The objective is to find the derivatives of the given functions

Q: Find the derivative of the given function. y = 3t4 - 4t2 y%3=

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Q: Find the derivatives of the functions y = 20(3x - 4)1/4(3x - 4)-1/5

A: Given: y=20(3x−4)14(3x−4)−15

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A: Given that

Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

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Q: I. Find the derivative of the following. 1. 2x - 15x + 15x-4 (x-1) 2. x+2

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Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

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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 the functions y = (4x + 3)4(x + 1)-3

A: here the given function as use quotient rule of derivative, which states,

Q: Find the derivative of the following function. y = (4t – 1)(5t - 6)1

A: y=(4t-1)(5t-6)-1

Q: Find the first derivative of the following functions and simplify your answer. 1.) y=( 5x-2' 2.)…

A: We will use the following formulas : (f(g(x))' = f'(g(x)) g'(x)  uv' = vu'-uv'v2 1.) y = x3+15x-24…

Q: 1. Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 2²+8+1

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Q: Find the derivatives of the functions y = 10e-x/5

A: Given: y=10e-x5

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: Find the derivative of the given function y = (2x+ 5)v4x – 1

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Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

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: (а + 1)(а + 2) y = (а — 1) (а — 2)

A:

Q: Find the derivatives of the functions y = 3 - 0.7x3 + 0.3x7

A: Given: y=3-0.7x3+0.3x7

Q: Compute for the derivative of y = X - Choose the correct answer. 8 (x – 1)2 x - 1 | 12 -24 (x – 1)-3…

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Q: Calculate the derivative indicated. d*y x=9• y = 9x-3/4

A: Given,             y = 9x- 34

Q: find the following third derivative of y=(3x+2)2

A:

Q: Find the second derivative of the function. y = 1/(5x + 1)

A: we have to find the second derivative of y=1(5x+1)=(5x+1)-1

Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;

Q: Calculate the derivative of the following functions. y = (5x + 1)2/3

A: The given function is: y = (5x + 1)2/3 The chain rule is: ddxfgx=f'gx·g'x And, the derivative of xn…

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

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Q: 4. Find the derivatives of the following functions. a. y= 2x b. y = x³ C. y= 4x -7

A: a. y=2x Differentiating both side with respect to x dydx=2b.y=x3Differentiating both side with…

Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

A: Find the derivative of the following expression s