Determine the derivative of tan − 1 (√1−x/1 + x)

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: Find the derivative of g(x) = In(sin²(ed/x)).

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Q: Find the derivative of g(x) = (cos(8x))3

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Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

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Q: Evaluate the derivative of the function. - 1 f(x) = sin(5x) %3D f'(x) =|

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Q: Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x…

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Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

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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: What is the first derivative of g(x) = In 4x²+4x+8 ? x 3 tan x

A: we use Logarithmic properties

Q: f(x) = cos (x – a -2).

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Find the derivative  f(x)= sin 2xcos2x

A: The given function is,

Q: Compute the derivative of f(x) = sin2x

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Q: Compute the derivative. f (x) = sin2 x

A: First of all, consider the formula for the chain rule and the given function f (x). Then assume u…

Q: Find the derivative of f(x)=[sin(3x)]^3

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Q: Find the derivative of cos-¹(sin x)

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Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: Find the derivative of the function. f(x) = sin-(4x) f'(x) = %3D

A: The given function is: f(x)=sin-1(4x) To find f'(x) here.

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Find the derivative of f(x) = Vx-7 tan-(x) + In a- 2.

A: We have to find the derivative of the function f(x)=x-7tan-1x+lnx-2.

Q: f(x) = tan (5æ).

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Q: Find the derivative of the function f(x) = 7x sin(4x).

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Q: Find the derivative of f(x) = -1 csc (cos r)

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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

A: We have to find derivative

Q: Find the derivative of r = In (cos" x).

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Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Differentiate f (x) = In(vx² + 1 sin* x) and write the derivative in its simplest form.

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Q: Find the second derivative of the function f(x) = sin (2x4)

A: This question is related to differentiation, We will solve it using given information.

Q: Compute the derivative of f (x) = (x – 3r) cos(r). -

A: You will find the derivative of the given function using the product rule of differentiation which…

Q: -1 2.) у %3D tan -6.x4

A: To differentiate: y=tan-1(-6x4) Solution: We know, ddx(f(g(x)))=f'(g(x)).g'(x)…

Q: g(x) = cos ¹x+ 1-x

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Q: Find the derivative of f(x) = v3x + 1 using the general formula for differentiation.

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Q: g(x)%3Dx sin(2*)

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Q: Find the derivative of the function. f(x) = sin (4x) %3D

A: To find the derivative of the function.fx=sin-14x

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Find derivative of the f(x) = sin-1*- 1 x+1 function

A: To find the derivative of the function

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Compute the derivative of the function f (x) = tan x2 +1

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Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

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Q: What is the derivative of f(x) = (tan^-1)((3+x)/(1-3x))

A: Given:f(x)=(x+3)arctan(x)1-3xf'(x)=ddx(x+3)arctan(x)1-3x=ddx(x+3)arctan(x)·(1-3x)-(x+3)arctan(x)·ddx…

Q: Find sixth order derivative of the function f(x) = (x – 5)7.cos(5x) by using %3D Leibnitz theorem.

A: If y=uv where, u and v are functions of x then un and vn denote the nth derivative of u and v with…

Q: Find the first derivative of g(x) = 2 In(x)tan(x*). g'(æ) = %3D

A: Given that g(x) = 2ln(x) tan(x^4). Find first derivative of this function. We know that derivative…

Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

A: We have to find the derivative of ((4x^2-4)/(cos(x)))^8 = 4^8(x^2-1) sec^8(x)= 65536(x^2-1)sec^8(x)