Find the approximate value of derivative f′(0) with the step size h for the following function by using three point end point formula:   f(x)=tan2(2πx3)tan2⁡(2πx3),  h=14

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

A:

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =…

A:

Q: Use the second derivative test to find the extreme values of the function J () = x³ – su² 24X .

A:

Q: Find the approximate value of derivative f(0) with the step size h for the following function by…

A: The three point end point formula with error is where h is the step size. If the step size is…

Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the…

A:

Q: Find the derivative of the function. f(x) = 4 tan -1 (e 11x) f'(x) = D

A:

Q: Q2. Find the slope of the tangent line to the function f(x)= at x 4 by using the 2Vx definition of…

A: Given that,

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: find the derivative of y with respect to the appropriatevariable. = sin-1 (1 - t)

A: Given Trigonometric Expression: sin-11-t We can differentiate this trigonometric function with the…

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Find the derivative of the following function with respect to x x = sinh2y

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Q: Find the derivative with respect to x of 1 f(x) V3x + 9

A:

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: Find the value of the derivative (if it exists) at each indicated extremum.       f(x) = −3x√(x + 1)

A:

Q: For a given equation, f(x) = xe* Compute the derivative at x = 2 using forward, backward and…

A: Given the function fx=xex.   The forward difference formula is given by f'a=fa+h-fah. The backward…

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

Q: Find the second derivative (y") of y = cot(3x³)

A: Given,        y=cot(3x3)

Q: Find the approximate value of second derivative f"(0) with the step h for the following function by…

A:

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

A:

Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

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.

Q: 5. y³ = 4(y + x²)

A:

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: The derivative of xª at x = e is equal to .Soloot ono

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Q: Find the nth order derivative of the power function y=xm where m is a real number.

A:

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: y = V5х+7

A:

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

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…

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…

Q: Find the approximate value of derivative f(0) with the step size h for the following function by…

A:

Q: Find the derivative of the following function, where x is already declared as a symbolic variable: f…

A: We have to find the derivative of the given function…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

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

A:

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: