Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b) f'(-2)

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: Find the second order derivative if  y = xx

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Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the first and second derivative by using implicit differentiation  xy+8y2=4

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of the function. 12) y = 2 secó x

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Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: 45. y = cos vsin(tan x)

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Q: Find the derivative of f(x) = (Cosx)*

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Q: 1 , (x >0) 1+x

A: We need to evaluate the derivative of the following function f(x) = 1-xx1+xx

Q: Find the second derivative of the function.

A: Given: fx=sec x To Find: The second derivative of the given function

Q: Find the derivative of the function f.

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: Find the derivative of f(x)=arctan(1/x) and simplify

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Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: Find the derivative of the function f(x.y) = tan -1 y at the point (4, - 4) in the direction in…

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Q: Find the derivative of the function f(x) = 1+ ex

A: First I have written the formula of quotient rule of derivative, just use the rule for given…

Q: The second derivative of the function is y = arctan 2x

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Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

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

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Q: Find the derivative of f(x) = (x2-ex) tan x

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Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

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Q: Find the second derivative of the function. f(x) = sec x * "(x) = Noc

A: Please see the explanation below

Q: Find the derivative of the function.

A:

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: y = csc-1 VE

A: We can find the derivative as below

Q: Find the derivative of f(x)=sec(x)

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Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: x² q(x) =- sin(x)

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Q: What is the derivative of y = etan-1 2x 2

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Q: If y=x+ 4÷x+1 use the first derivative test to find where relative extrema occur.

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Q: Find the derivative of the function. h(x) = x² arctan(8x)

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Q: calculate the derivative with respect to x. 3y3 + x2 = 5

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Q: Find the second derivative of y=x-1 at x=2

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