Please find f'(2) if f(x)=tan(5x). Show steps

Q: Find the first and second derivatives.  f(x) = ln(5x+1)  Please explain and show how to do this…

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Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

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

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Q: Find the derivative. Simplify where possible. f(x) = tanh ( 1+ e2x  )

A: f(x) = tanh ( 1+ e2x  )

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  f(x)=cosx/1+sinx

A: The derivative of the function as follows.

Q: sin

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

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

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Q: Find the third derivative if the function. 15. f(x)= 1/x

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Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: compute the derivative. f (x) = ex sin x

A: Given: fx=exsinx We know that ddxu.v=vdudx+udvdx                                              ..1

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: Find the first four derivative  if  y= cosx

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Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

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

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Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: y = csch /sec(x³ + 2)

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

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Q: Use the Quotient Rule to calculate the derivative. f(x) = ex / (x2 + 1)

A: Consider the given function as fx=exx2+1

Q: Find the derivative f(x)= Inlex+9)

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

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula:…

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

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Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the derivative:   y=  3 tan(x) 5 sec(x)

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Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: cos X sin x + cosX

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

A: Find the derivative of the function

Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

Q: Find the derivative. Simplify where possible. f(x)  =tanh (1 + e2x)

A: Here given as fx=tanh1+e2x Since  ddxtanhx=sech2x

Q: Find the derivative of f(x)=sin(8x) f′(x)=

A: Answer is 8cos(8x).

Q: Va2-x² Y=Arc sin + a

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Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: f(x) = 3 sin 1 (x²)

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Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: Find the derivative of the function. f(x) = arcsin(7x) + arccos(7x)

A: As per bartleby guidelines if more than one question is asked, only one question is to be solved.…

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

Q: f (x) = sin(2ax + x)

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Q: State the derivative. Do not simplify. f(x) = sin(ln(x))

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