Let h(x) = tan(2x + 8). Then h'(3) is and h''(3) is

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: find f'(x) if f(x) = tanh(ln x) +sin2(2x)

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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 Equation of tangent line of the function f(x) = 1 + csc(x) – /cos(x) 2n 4+V3 23 At the…

A: Consider the provided function, fx=1+cscx-cosx and the given point 2π3,4+323. Find the equation of…

Q: |2tan x In (cos x) dx=

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Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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

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Q: Find the derivative of the function. rsin(x) y = In(1 + 5v) dv y'(x) = sin x In(1+5 cos x) + cos x…

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Q: 2tan x In (cos x) dx=

A: here we have to integrate the given integral.

Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: If y = √√1-x² sin¹¹x, prove that (1-x²)+xy=1-x². dx

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Q: find integral tan 3 x dx

A: To find the integral of tan2x first split tan into two part and the using property of sec and tan…

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: Compute the higher derivative.

A: Given, d3dx3sin 2x

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: Find the derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

Q: Find the second order derivatives of the function f(x) ex sinx cos 2x

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Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – cos(x) 2n 4+v3 3' 23 At the…

A: Answer

Q: Consider f(x) = 3 − cosx on the interval [0, 7]. When will the first derivative equal zero?

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Q: g(x) = cos ¹x+ 1-x

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Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

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Q: Find the 2nd derivatives

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Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

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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: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

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Q: 1) If f(x)= tan(5x), find  f'(5)=??????

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

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

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Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x

Q: Find if dy dx y = (cos x) * O (cos x) * (-sin x) O (sin x) * (In cos x - x tan x) O (sin x)* (In cos…

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Q: Find the derivatives of the functions h(x) = x tan (2√x) + 7

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Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

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Q: Find the first derivative of * In (sec y + tan y) - x - sinx = 2 O tany (cos.x + 1) O cos y (cos x +…

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Q: Find the first derivatives of y = cos x tanx

A: Given: y=4cos x+1tan x

Q: 3. Find the derivative D(x *arctan(x)) And the integral 6x dx 9+x

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Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: find the derivative of f(x)=(x^4+3x^2+8)cos

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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 equation of the line tangent to f(x) = cos² x – sin²| %3D at x = 6

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Q: In (sinh x ), + tanh x j + 1-x k )dx 1- sinx

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Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

Q: Differentiate implicitly for the equation for x^2y+x^3-cos(x)=3y^2

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Q: If f(x) = A B tanx 1+e 1+1² 1+e¹ In (secx) √ 1+tan²x 1+ e tanx sec 3x tanx -dt, then f'(x) equals

A: solution:-f(x)=∫0tanx1+t21+etdtApplying leibniz integral…

Q: Compute the derivative d tan x dx \cos x – 4

A: Given: Formula Used:

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

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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)