For g(x) = ex, find g(17)(x) %3D

Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: First we solve the given expression for y

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9.

A:

Q: find the derivative. y = csc−1(x−1)

A: Given: y=csc-1x-1. To find the derivative. Solution: We know that, a-n=1an So, y=csc-1x-1 can be…

Q: Find the derivative of the function y = x²e*

A:

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

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Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: Find the derivative. y = Vx2 + 1

A:

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: solve the derivative f(x) = e^3x / 1-x^3

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Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: Find the derivative of the function. y = 1/√(3x + 5)

A: y=13x+5

Q: A town library estimates that, when the population is x thousand persons, approximately y thousand…

A: A town library estimates that, when the population is x thousand persons, approximately y thousand…

Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: Find the derivative. y = In /x+7 y' = D

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Find the derivative of the function. y = 2e* +x2

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Q: y = + 1'

A:

Q: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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Q: - [5√3x d dx

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Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: 3x Calculate up to 2nd derivative the equation g(x) = -8sin (+

A: Given: A function gx=-8sin3x2+1. The first derivative of g(x) is: gx=-8…

Q: _xe. f(x) = (1+e*)

A: Here we have to find the differentiation of given function. The solution is following.

Q: a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

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Q: Find the third derivative of the function y=e2xlnx.

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Q: Find the derivative of the given function. y = - 9sin (5x4 - 6) dx ||

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

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

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Q: Find the derivative. h(x) == 2* %3D

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Q: Find the derivative. y = In /x+5 y' =D

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Q: g(t) = cosh-1 t3

A: The objective of the question is determine the derivative of the given function.

Q: y = xe³x+l

A:

Q: y= 5e* 5e

A: some important differencials

Q: Find the derivative 1. y = Vx² – 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

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Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: 21) y=e

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: A) find the 1000th derivative of the function: y = xe¬x.

A: Find derivative

Q: 5. x= y= t2-1

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Q: 3.) Y + y = x" ן1

A:

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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Q: find the derivative of y = (x + 1) (x² + 3).

A: Given          y=(x2+1)x3+3

Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: Find the derivative of the function. - 12 y3= dx

A: Topic - derivatives

Q: et g(æ) 5x – 4 ='(x) =

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: