Trig Derivative Quiz

What is the product rule for finding the derivative of two functions?

• The product rule for finding the derivative of two functions is (f + g)' = f' + g'.

• The product rule for finding the derivative of two functions is (f - g)' = f' - g'.

• The product rule for finding the derivative of two functions is (f / g)' = f' / g'.

• The product rule for finding the derivative of two functions is (f * g)' = f' * g + f * g'.

What is the quotient rule for finding the derivative of two functions?

• (f(x) * g'(x) + g(x) * f'(x)) / (g(x))^2

• (f(x) * g'(x) - g(x) * f'(x)) / (g(x))^2

• (f(x) * g'(x) - g(x) * f'(x)) / (f(x))^2

• (g(x) * f'(x) - f(x) * g'(x)) / (g(x))^2

What is the chain rule used for in calculus?

• The chain rule is used to find the maximum or minimum value of a composite function.

• The chain rule is used to find the derivative of a composite function.

• The chain rule is used to find the integral of a composite function.

• The chain rule is used to find the limit of a composite function.

Find the derivative of sin(x).

• sin(x)

• tan(x)

• csc(x)

• cos(x)

Find the derivative of cos(x).

• tan(x)

• sin(x)

• -sin(x)

• cos(x)

Find the derivative of tan(x).

• cos^2(x)

• sec^2(x)

• sin^2(x)

• cosec^2(x)

Find the derivative of cot(x).

• sec^2(x)

• sin(x)

• cos(x)sin(x)

• -csc^2(x)

Find the derivative of sec(x).

• cos(x)

• csc(x)

• cot(x)

• sec(x) * tan(x)

Find the derivative of csc(x).

• -sec(x)cot(x)

• sec(x)cot(x)

• -csc(x)tan(x)

• -csc(x)cot(x)

What is the derivative of arcsin(x)?

• cos(x)

• x^2

• 1/sqrt(1-x^2)

• 1/x

Tags

CCSS.HSF-BF.B.4A