The picture below shows the graph y = f'(x) of the derivative of a function y = f(x).

Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

Q: find the derivative of the function  f(x) = e5x sec x

A:

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

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

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

Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

Q: Find the 3rd derivative of the function y=excosx.

A:

Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

A:

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: X+3

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: Find the derivative of the function. y = (tan-1(8x))2

A: Function y=(tan-1(8x)2 To find the derivative of the given function.

Q: find implicit derivative of x^3 + x tan^-1 y = e^y

A:

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function y = x arcsec x

A:

Q: Find the derivatives of the functions y = 2√x - 1 sec-1 √x

A: Given: y=2x-sec-1x we differentiating given function and then simplify it

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: Find the first derivative of the function:  y=x² arcsin x

A: We have to find the first derivative of the function: y=x2 sin-1 x Here two function are in product…

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

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then…

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

Q: Find the derivative of the function y = e2x tan 2x

A:

Q: Find the derivative of the function. y= log 4- x

A:

Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the derivative of the function y=excosx.

A: we have to find the derivative of the function y=excosx.

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

A:

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function.   y = In(x)/x9

A:

Q: Find the derivative. y = x In(x) + x

A:

Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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Q: Find the derivative of g(x) = e-" cos(x²)

A:

Q: Find the first derivative of y = cos*x- sin*x.

A:

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

A:

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: Find the derivative of f(x) = x/ln (x)

A:

Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3