Find the derivative of the function given below. f(a) = In(sin(6a)) f'(a) =

Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

A:

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

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

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 of y with respect to the appropriatevariable. y = ln (x2 + 4) - x tan-1 ( x/2)

A: We use the chain rule and product rule

Q: Find the derivative of the function ?

A:

Q: Find the derivative of y=cos-1(5/x) with respect to x.

A: The given inverse trigonometric function is,

Q: 2х- 3 3. У3 5x +1

A:

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

A: we have to find the derivative of y

Q: Find the derivative of the function. y = sin ( xcosx )

A:

Q: y = In- e 2x+1

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. f(x) = ln   x + 2 x − 2

A: Given,            fx=lnx+2x-2

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

A:

Q: COS 2. %3COS

A:

Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

A:

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

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

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Find the derivative of y with respect to x. y = csc-1(x5 + 1) ; x > 0

A:

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: 2. Find the derivative of the function. y = e* In (sinæ)

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the following Function () y sin(x²) = x sin(y?)

A:

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

A:

Q: Find the derivative of the function. y = sin-1(4x + 1) У'%3

A:

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

A:

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

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

A:

Q: Find the derivative of y= cos with respect to x. -1 The derivative of y= cos with respect to x is 1

A:

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

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

A: Differentiate w.r.t x

Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A:

Q: Find the first derivative of v with respect to x

A: Given,