Calculus: Unit 3.6 - Trig Derivatives (2 attempts)

Front

What is the derivative of y = cos^5(4x^3)?

Back

y' = -60x^2 cos^4(4x^3) sin(4x^3)

Front

How do you find the derivative of y = tan(3x^2 + 2)?

Back

y' = 6x sec^2(3x^2 + 2)

Front

What is the derivative of g(x) = cos^2(4x)?

Back

g'(x) = -8sin(4x)cos(4x)

Front

Find the derivative of y = (cscx + 1)^7.

Back

dy/dx = -7(cscx + 1)^6(cscx cotx)

Front

What is the derivative of y = x^2 sec(2x)?

Back

y' = 2x sec(2x)(x tan(2x) + 1)

Front

Define the chain rule in calculus.

Back

The chain rule states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function.

Front

What is the derivative of sin(x)?

Back

The derivative of sin(x) is cos(x).

Front

What is the derivative of cos(x)?

Back

The derivative of cos(x) is -sin(x).

Front

What is the derivative of tan(x)?

Back

The derivative of tan(x) is sec^2(x).

Front

Define the product rule in calculus.

Back

The product rule states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.