Evaluate the derivative of indicated order of the following functions: d2 (x cos(x² + 3x) а. dx2 d b. (In(3xocs(x + 2))) dx

Q: Find the derivative of the function. f(0) = cos(0²)

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Q: Find derivative of the following function. 5x -5x y%3D dy

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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 ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Find the derivative of the following function. 7x e y= In 4x y =D

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Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

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Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: Calculate the derivative of the following functions. y = cos 5t

A: Given ,          y=cos 5t

Q: Evaluate the derivative of the given function for the given value of x. Y = 2x-3 / 4x+5   x = 1…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the indicated derivative dz/do for z= x^3+x^2/1-x-4x^2

A: We have to find derivative

Q: Find the derivative of the following function. sin x+ cos x y= ex dx

A: Taking derivative on both sides,

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

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 the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

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Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: Find the fourth order of derivatives of the following functions y=ln x y= X^1/2

A: The objective is to find the fourth order derivative of rhe given functions.

Q: Find derivative of the following functions: i. In(x*sinh x) ii. y = csc e* 7x

A:

Q: Find the derivative of the function. = cos (a° + a") y = cos

A: Given,            y = cosa9 + x9

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: d² (¤Arctan x dx?

A: To find the following derivative of the given function.d2dx2x arctan x

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: Q1:- Find the first order derivative of each of Inx a) y = e*secx + CsCx

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Q: Find the derivatives of the function defined as follows.

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Q: Find the derivative of the following function. -3 y = (3x* + 4)* dy dx

A: Given a function  y=-3(3x4+4)5 To find the derivative dydx of the function.

Q: Find the derivative of the following function. - 4 %D (7x x + 1) りの X. 口 dy %3D dx

A: Given:- y=-47x5+16 To Find:- dydx

Q: The derivative of the function y = x² In(x + 1) is:

A:

Q: Calculate the derivative of the following functions. y = (cos x + 2 sin x)8

A: Given function is y=cosx+2sinx8.

Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

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Q: Determine the value of the derivative of the function stated below, at x = 1. d "2х-1 4 dx \ x+2

A: The given function is: f(x)=2x-1x+24

Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

Q: Calculate the derivative of the following function. y = (3x-4x°+4)24 y%3D dy dx

A: Please see the below explanation:

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: d х2-1. dx x2+1 x = -2 %D

A:

Q: Evaluate the derivative of the following function at the given point. x+ 3x - 5y + 101 = 0: (-3.4)…

A: The objective is to evaluate the derivative of the function at the given point.

Q: ..] Find the derivative of the following functions: a) (e* sin 5x) b) y = csc x +e** csc x+e*

A: Apply the product rule, (f.g)'=f'.g+f.g' Add/sum rule, ddx(f±g)=f'±g' Derivative of sine function,…

Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

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Q: Find the Derivative Function for the following function, y=cos(x)-3x

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Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Can you help me step by step?

A: Assume p=x^2*sin^9 xThen find derivative of p w.r.t. xUse product rule and chain rule for this.

Q: Find the derivative of the following functions: x2 +4 (a). f(æ) = x2 %3D 4 (b). f(x) = 2 tan '(x) –…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Find the derivative of the following function. f(x) = ..... 3x e dx -X +2

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Q: Find the derivative of the following function. y=5.3-2 dy dx

A: We can find the derivative of the given function as below

Q: Find the derivative or f'(x) for the following: dx y= x²- 3x + 4 2х-5 (x) = 3x+2

A: