Solve for the derivative of the Inverse Trigonometric Differentiation.  1.  g(x) = 3 tan -1 (3x) 2. y = (5x2) (cos -1 2x) 3. y = (csc-1 2x)4

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Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

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

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Q: COS 2. %3COS

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Suppose that x and y are related by the equation 2x - 5y = 1 and use implicit differentiation to…

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

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Q: (3x + 1)*(x – 4) - Use logarithmic differentiation to find the derivative of f(x) = (x2 + 1)° .…

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Q: 83. Find the 50th derivative of y = cos 2x.

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Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

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Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

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Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

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Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: (a) Find the derivative of cos(1+x²).

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Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: 3x-4 1. Y= Arctan 4

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Q: x' Find the derivative of h(x) sin x 4x2+2

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

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Q: Find the derivative of y=cos-1 (19x)

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Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

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Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

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

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Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: Find the first derivative of the function y = In[tan (pi/4 + x/2)

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Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

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)