Find the derivatives of the functions y = ln (sec2 θ)

Q: Find the derivative of the function  y= Cot2(Sin θ )

A:

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Find the derivatives of the functions y = 2 tan2 x - sec2 x

A: Given  The function  is y = 2 tan2 x - sec2 x Formula

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

Q: Compute the derivative. y = sin (4 / θ )

A: The chain rule of differentiation is used to find the derivative of a composite function and given…

Q: Find the derivative of y with respect to theta. y = ln(sec(ln(14θ))).

A:

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: Find the derivative of the function

A:

Q: calculate the derivative. y = sinh(x2)

A: we have to find the derivative  y = sinh(x2)

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

A: To solve this type of questions we use chain rule. df(g(x)) dx= f'(g(x)) g'(x)in given ques. f(x)…

Q: Find the derivative of the function

A: We use the chain rule

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

A:

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

A: Given : y = sintan3x

Q: calculate the higher derivative. y", y"', y = et sin t

A: To calculate the higher derivative y" and y''' differentiate y with respect to t because in the…

Q: Find the derivative of the trigonometric function. y = -csc(x) – cos(x) y' =

A:

Q: Find the derivative of the cosine function y=cosx.

A: To find derivative of cosine function

Q: Find the derivative of the trigonometric function. y = cos 4x

A:

Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: Find the derivative of the function. y = (tan-1(4x))2 y' = %3D

A:

Q: Find the derivative.

A: Given     y=sin-1xcos-1xdydx=cos-1x ddx sin-1x-sin-1x ddx cos-1x ( cos-1x  )2       =cos-1x 11-x2…

Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

A:

Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

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

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

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

A:

Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

A:

Q: Calculate the higher derivative. y ", y "', y = tan x

A: Differentiating both sides with respect to x, we get

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: Find the derivative of the equation. = sin „sin ( x) y' :

A: Derivatives

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: y = In(sin x)

A:

Q: Determine the second derivative of the function y=arcsin x2−1 / x2+1.

A:

Q: Find the derivative of the equation. cos (x) y = x y' ||

A: Here we have to use logarithmic differentiation. According to product rule of differentiation,…

Q: Find the derivative of : y=x sin(x) %3D ?

A:

Q: Find the derivative. y(0) = sech-1(sin(@)), 0 < e < I 2

A: y(θ)=sech-1(sinθ)  ,  0&lt;θ&lt;π2

Q: Find the derivative of the function. y = sin2(x2 + 2) y' = %3D

A:

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

A:

Q: Find the derivative of the function y = sech−1 (sin x)

A: Given function - y = sech-1sinxDifferetiating on both sides with respect to x - dydx =…

Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: Find the derivative of the function - (tan(æ)). Y = y'

A:

Q: Find the derivative of y = (sin x)arcsin x %3D

A:

Q: Find the derivative of the trigonometric function. y = 5 cos(  x)2

A:

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

A:

Q: Find the derivative of the function. y = 2 tan-(sin x) y' =

A: Using derivat formulas.

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

A:

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

A: Topic = Derivative

Q: Find the derivative of the function. y = sin(tan 8x) %3D

A:

Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: