r(1/2) =/T

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: Solve the second derivative forf(x,y, 2) = e

A: Given f(x,y,z)=esin(x²+y²)/z To find del²f/delx²

Q: find the first derivative of the function: F(x)= (1+t^2)^-3 (t-1/square root t)^4

A: From the given problem:   ft=1+t2-3t-1t4   From the product rule:   f·g'=f'·g+f·g'   So,…

Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: Find the derivative. 4 7(+3t) dt 7(P+31)-] 4 dt

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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: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

A:

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

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

Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

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Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: 2. If f(t) is the rate of change of some quantity, then what does f (t) dt represent?

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Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

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Q: When is f (t) increasing at the greatest rate?

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Q: Q/ Find the derivative of R(z) = → 1 8z4

A: Given function is  Rz=6z3+18z4-1z25Rz=6z32+18z4-1z25Rz=6z-32+z-48-z-25

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

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Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

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Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

A:

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per…

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Q: How to solve the derivative of this

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Q: OFind the derivative of the 1 +5 (a). f(z) = %3D T2-5

A: As per the guidelines we can solve only one question at a time so if you need more answers then…

Q: Q:1 Find the second derivative of f(x) = 2x5 - 3VX7 at x = 1 rounded to five decimal places.

A: To find the second derivative of  f(x)=2x⁵-3x7/3 at x=1

Q: Supposed that the yearly rate of consumption of oil (in millions of barrels) is given by C'(t) =…

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Q: Use differentials to approximate the quantity 3 √7.8 (The cubes root of 7.8)

A: Given:

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: It is required to approximate the value of expression using differentials.

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

A:

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

A:

Q: 5х f(x) = 2) Find the first derivative given that J2x+3

A: Solved below...

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly…

Q: Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

A: The correct option is 4th option.i.e. 2z .

Q: Find the derivative of the function. y = log 6 V3x+7 3. O A. In 6 3 In 6 O B. 3x +7 In 6 (3x + 7) 3…

A: Given, y = log63x + 7Applying the log rule; logab = lnblnay = ln3x + 7ln6Differentiating with…

Q: A population of insects increases at a rate of 20010t 0.25t2 insects per day 3. (t in day units).…

A: It is given that initially there are 35 insects at t = 0. So, I (0) = 35.

Q: (a) Show that the derivative solution of this function y = x** is x(x*+x-1) [1+x In x (In x + 1)] dx

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Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: 8 Find the derivative of f( x ) = x° log, (x + 3). f'(x) : = (x).f

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: 4. The derivative of the function f(x) = r +3) is

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Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: The derivative of f(z) = Log(2iz - 4+6i) at z = -3+i is

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Q: (n2 – 1)* 31. H (r) = (2г + 1)8

A: In the question it is asked to calculate the derivative of H(r)=(r2-1)3(2r+1)5 using chain rule.