What are the derivatives of the inverse trigonometric functions? How do the domains of the derivatives compare with the domains of the functions?

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: 5. Determine which inverse trigonometric function g has the derivative g'(x) = x* +1

A: We find the integration of g'(x) For that use substitution x=tanz

Q: Find the derivative of the trigonometric function.

A:

Q: What are the derivatives of the sine and cosine functions?

A: Derivative of sine function is,

Q: True or False It is impossible to obtain exact values for the inverse secant function.

A:

Q: Determine which inverse trigonometric function g has the derivative / 1 g (x) = x2 + I

A: Which inverse trigonometric function has derivative 1x2+1.

Q: What are the derivatives of tan x, cot x, sec x, and csc x?

A:

Q: y = sin³ x cos x sec 4x y = tan 4x

A:

Q: Find the derivative of y= sec(x) tan(x) Give clear steps and explanations.

A: The given function is y=secx tanx. The following product rule is used in evaluating the given…

Q: Give 5 examples of derivative of trigonometric functions with solution

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Q: Find the derivatives of Inverse trigonometric y = x arctan 4x

A:

Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: find the derivative of f(theta)=40tan(theta)sec(theta)

A:

Q: Find the derivative of the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: What is the derivative of f(theta) = sin(2theta) + sec(3theta) + tan(4theta)

A: Simply take the derivative of each terms .

Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: Find the derivative of the inverse trigonometric function below. y = sin-1

A: ddx( sin-1x) = 11-x2  ddx1x =-1x2

Q: Find the derivatives of Inverse trigonometric y = arctan (1+4x) у 3 arcsin (1-2x) у 3 arccos V1 -х

A:

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

A: The given function is y = sin x

Q: Find the derivatives of Inverse trigonometric у - arccos V1 —х

A: y= cos-1(1-x)

Q: Sin 27 sin le

A: To find The derivative of y.

Q: Find the derivative of the trigonometric function. y = 6 sin(3nx)

A:

Q: Find the derivative of the function. Simplify where possible. F(θ )   = arcSin √Sinθ

A: Find the derivative of the function Fθ=arcsinsinθ.

Q: State the derivatives of sin-1 x, tan-1 x, and sec-1 x.

A: To Determine: State the derivatives of sin-1 x, tan-1 x, and sec-1 x. Given: we have sin-1 x, tan-1…

Q: Find the derivatives of Inverse trigonometric y = arcsin- Va2-x2 a

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Q: Compute the derivative. f (θ) = eθ (5 sin θ - 4 tan θ)

A: Given: fθ=eθ5 sin θ-4 tan θ To Find: The derivative of the given function

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

A: Given:y=-cscx-sinxFormula:ddxcsc x=-cscx cotxddxsinx=cosx

Q: Find the derivative of the trigonometric function. f(x) = −x + tan x

A: Given: f(x) = −x + tan x

Q: Find the derivative of the trigonometric function. g(v) = cos v/csc v

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Q: Find the derivatives of Inverse trigonometric Va2-x2 y = arcsin -+ а

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Q: =x sin

A: v=xsin-1(x)+1-x212 Apply product rule to take derivative for first part we know that derivative of…

Q: Find all derivatives of the cosine function.

A: We find first few derivatives of y=cosx

Q: Find the derivative of the function cos (x) using the definition

A: We have to find the derivative of cos (x) by using definition of derivative

Q: Find the derivatives of Inverse trigonometric y = Varcsin x

A:

Q: Find the derivative of the trigonometric function. f(x) = cot x/sin x

A: The given function is fx=cotxsinx.

Q: Find the derivative of the trigonometric function. . y = sin√(cot3x)

A: We have to find the derivative of the trigonometric function: y=sincot 3x We know the formula of…

Q: Find all derivatives of the sine function.

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Q: Find the derivative of the trigonometric function. h(x) = sec 6x

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Q: gla) = 8 3 sin5a 11

A:

Q: Find the derivative of the trigonometric function: f (x) -3 cos x + x* sin x

A:

Q: Find the derivative of a trigonometric function.

A: We write g(t) using exponent first, then differentiate both sides with respect to t.…

Q: 5. y = tan(x- +1

A: dtan-1(x)dx = 11+x2 dxndx = n.xn-1 dax+bdx = a2ax+b

Q: draw the function and its derivatives. explains why of its derivatives:   y=cosx

A: Given y=cosx

Q: Find the derivative of the trigonometric function. y = sec x/x

A: To find  Derivative of sec xx

Q: Use a computer algebra system to find the derivative of the function.

A: Given

Q: Find the derivative of the trigonometric function. y = 8 sin(5πx)

A:

Q: Find the derivative of the trigonometric function. g(x) = 5 tan 3x

A: Given that : The function is g(x) = 5 tan 3x .

Q: y = cos((pix)8)

A:

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: