Find the derivative of the given function: 1. y = -cot (2x) + cot(2x) + 2x 3 secx 2. y = 1+tanx 3. Find y(4) if y = sin(5x)

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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

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Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: Find the derivative of the function.

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Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

Q: Find the derivative of the function. y = sin(x cos(x))

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Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: y=x4+cos(2x) Find derivative of given function with respect to x . Here use chain rule and then find…

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

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

A: The given inverse trigonometric function is,

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

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Q: Calculate the derivative of the following functions.

A: Given : The function is y =sin5( cos 3x) .

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its 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 y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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

A: Given: y=ln|sinx2| To find dydx

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

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Q: Find the derivative of the following. sin y = cos (2x)

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

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: Find the derivative of the function R = sin(7t

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Q: Determine the derivative of the following functions with respect to the independent variables: .1 y…

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Q: Find the derivative of the function. y = cos( V sin(tan(7x))) y' =

A: Topic :- Calculus

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: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

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

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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 y with respect to x. y = 6x° sin -1 (6x) + /1- 36x° dy dx II

A: Given function is By using product rule of differentiation, we get

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

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

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Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: Find the derivative of the function. Simplify wherepossible.

A: we have to find the derivative of the given function  y=xsin-1x+1-x2

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

Q: Calculate the derivative of the following function. y=cos(9sinx)

A: y= cos x  y' =- sin x  y= sin x  y' = cos x

Q: find the derivative. y = cos−1(x2)

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Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Find the derivative of the function. y = cos V sin(tan(7x)) y' =

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Q: Use the rules of differentiation to find the derivative of the function.                        y =…

A: Given:  y=x2-12 cos x…

Q: Find the derivative of the function. y = a 3 + cos 3 x)

A: Given: y=a3+cos3x

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

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Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

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Q: Find the derivative of y with respect to x. y = 3 sin 1 (4x 4

A: The given function (y) is To find derivative of y with respect to x is

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Q: Calculate the derivative of the following function. y = sin (11t - 1)

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

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

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Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

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