1. Find the derivative of the function sin (4x) f (x) = V 3x

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

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Q: Find the 2nd derivative of y with respect to x : y=xe^2x

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Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

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Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

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

A: The given inverse trigonometric function is,

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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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: Find the derivative of the following function. (3x² – 5) y = Cos z + (x² + 1)0* sin 5x

A: Given  y = 3x2-55sin5x + x2+1cosx

Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

Q: 4. Consider the function f(x) = 2 cos x x2 find its derivative

A: (4) Consider the given function. fx=2cosxx2 The quotient rule is defined as. fxgx'=f'g-g'fg2

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

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Q: Can you help me with this problem step by step?

A: The given equation,

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function. y = 5 cos(9x + 1)

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Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

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Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

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

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

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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: y = cof'/ x2-1 x²+

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

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Find the derivative of the inverse function at x=1 for the function y=sin(x−1)+x2.

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Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

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Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: Find the indicated derivative of the function. d³y for y = 3x sin x

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Q: Find the derivative of the function. y = x sin 1(2x + 1)

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: (x² +SJ° In 14-X つ. dr

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Q: Find the derivative of y with respect to x. 10) y = sin-1 (e6t)

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Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 2. Find the derivative of (a) f(x) = x* + 3x 2+ 4e" 4 (b) f(x) = 2 tan(x)- 2"

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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: 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 derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: 11 with respect to x is The derivative of y = cos - 1

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