How can you use the derivatives (sin x) = cos x, dr d (tan x) = sec? x, and dx (sec x) = sec x tan x to remember the dx derivatives of cos x, cot x, and cse x?

Q: Determine f sin x sin(cos x) dx

A: We have to solve the problem

Q: Cos x sin (sinx) dx

A:

Q: Find the derivatives of the functions r = sec √θ tan (1/θ)

A:

Q: Find the derivative of the trigonometric function. y = 2x sin x + x2 cos x

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Q: what is the derivative of sin(e^x)

A: To find what is the derivative of sin(ex)?

Q: Consider sin(x) and tan(x). Find -[sin(x) tan(x)] dx where d da sin(x)] d cos(x) and d tan(r)) =…

A:

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: 1) Find 4 by implicit differentiation given 4 cos x sin y = 1. dx

A: Differentiate above equation with respect to x.

Q: What do the limits limh→0((sin h)/h) and limh→0((cos h - 1)/h) have to do with the derivatives of…

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Q: Consider sin(x) and tan(x). Find d/dx[sin(x) tan(x)] where d/dx[sin(x)] = cos(x) and d/dx[tan(x)]…

A: Derivative of the function

Q: Find the derivative of the trigonometric function. y = 3x cos(x) + x6 sin(x)

A:

Q: dx is equal to 1+cos x - cotx + cscx + c -tanx + cscx + c O cotx + secx + c O cotx + cscx +c

A: To find: ∫dx  1+cosx

Q: Solve f ) = (tanX + Cos x and t Cos X

A:

Q: What is the derivative of sin? x f(x) = with respect to x? COs x

A:

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: The derivative of y = 3 cos (V1-x²) + (1-x²), can be written as sin ( V1-x² ) – ( 1–x²) }) 3x…

A:

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: Find the derivative: f(x) = (6 sin a + 3 cos )tan f'(x) =

A: Given function is fx=6sinx+3cosxtan−1x To find the derivative of the function.

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: Find the derivative cos x y = 2 sin x

A:

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: d tanx) = dx 1 -1 Using x +1 find the derivative and do not simplify. y = x tan'(5x +3) %3D

A:

Q: How would you evaluate∫tan10 x sec2 x dx?

A: given ∫tan10 x sec2 x dx

Q: (B) Evaluate tan (3.x +1) sec³(3x +1) dx

A: In this, We find the value of the given integral using tan^x+1=(sec^2)x formula.

Q: Evaluate | sin X cos X dx 3

A:

Q: Once you know the derivatives of sin x and cos x, how can you find the derivatives of tan x, cot x,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the first derivative of the following function: 1. y = sin (2x) - cos (2x)

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Q: tan'x sec x - COS X %3D SBCX

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Q: How can you use the derivativesd/dx(sin x) = cos x,d/dx(tan x) = sec2 x, andd/dx(sec x)= sec x tan x…

A: Given, The derivatives are, ddx(sinx)= cosxddx(tanx)= sec2xddx(secx)= secxtanx

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: Find cos x + sin 2x dx 19. sin x

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Q: dx is equal to 1+cos x O - cotx + cscx +c O - tanx + cscx + c O - cotx + secx + c O cotx + cscx + c

A: We have to find the integration and also find the limit in the second question.

Q: sin x cos(y – 1) = 2

A: Using the implicit differentiation,

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

A:

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: 8) Use implicit differentiation to find y', given cos(x+ y) = y² sin x

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Q: cos(In x) dx

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Q: 8 tan (x) sec (x) dx

A:

Q: The derivative of y = 3 cos (V1- x²) + (1-x²) 2 can be written as 3 1–x² sin ( /1-x² ) - (1-x² ) 3x…

A: This can be done as follows:

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

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Q: (B) Evaluate tan°(3x +1) sec³(3x +1) dx

A:

Q: 3. It is given that sin(x) + cos(x) tan(y) = 1. Use implicit differentiation to find

A:

Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

Q: 30. sin x cos(cos x) dx

A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: Compute the derivative d tan x dx \cos x – 4

A: Given: Formula Used:

Q: sin x y = 1 + cos x

A:

Q: Evaluate sec x dx /In(sec x + tan x)

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: