Find f'(x)'f f (x)= arctan (Inx) %3D

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: For which values of x are y = sinh x and y = cosh x increasing anddecreasing?

A: Hence, sinh x is increasing for all x.

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: What is the rate of change of y = ln x at x = 10?

A: To find the rate of change we have to find dy/dx

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

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Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: show how to use integration byparts to find integration (arcsin x)^2 dx

A: Let I=Arcsin x2 This can also be written as: I=sin-1x2 Now if we want to integrate above function we…

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: (A) Ln(2) S Sinh(x) Cosh² (x) dx

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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: Find the equilibria of the differential eq

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Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

A: the fiven function is f(x)=ln(x)

Q: Differentiate f(x) = sinh (x) + 2 cosh (x) - sech (x)

A: Aim: We have to differentiate given function.

Q: What is the derivative of * y = arctan(x2 + 1)?

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

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Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

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Q: (1 point) Find dy/dx by implicit differentiation. x + y = 6 + x

A: Given: x+y=6+x2y2

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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

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Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy…

A: To find the derivative of yx=ln9lnx7.

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: 8. The value of f sinh* x cosh³ x dx

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Q: What is the derivative of: y = ln ln(1 − cos x)

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Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: what is the derivative of f(x)=ln(tanhx)

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Q: Find the second derivative if y = sinh- (n + x') at x = 0

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Q: y = In(x² + 4) - x tan-1 (e) y = arctan(arcsin vx), (y = sech (tanh x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2 Find the derivative of y = arctan(x´ + 3)

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

Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the formula for -…

A: Consider the function  g(x)=tan−1x3

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 equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the differential of the function y=lntan2x at x=π/8.

A: Given: ,at x=π/8 Differentials are infinitely small quantities. Use the term for differentials as…

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

A: Apply exponent rule:

Q: 9 y = Arctan(+x, 1- 2x

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Q: calculate the integral.

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Q: Find the derivative. y(x) = x tanh−1(x) + ln (sqrt (1-x^2))

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Q: a Write down the derivative of arcsinx. b Use integration by parts to find | arcsinx d.x.

A: a. Derivative of arcsin(x) is given by ddx(arcsin(x)) = ddx(sin-1(x)) = 11 - x2

Q: Find and sketch an exponential equation of the form y = Cekx that passes through the points (0, 8)…

A: Given an exponential equation of the form y=Cekx that passes through the points (0,8) and (3,4). To…

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral