Week 8 - Derivatives of Trig Functions; Chain Rule

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the derivative of tan(x)?

Back

sec^2(x)

Front

What is the derivative of sec(x)?

Back

sec(x)tan(x)

Front

What is the derivative of csc(x)?

Back

-csc(x)cot(x)

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

What is the Chain Rule in calculus?

Back

The Chain Rule is a formula for computing the derivative of the composition of two or more functions.

Front

How do you apply the Chain Rule to find the derivative of sin(g(x))?

Back

The derivative is cos(g(x)) * g'(x), where g'(x) is the derivative of g(x).

Front

Find the derivative of sin(x^2).

Back

2x cos(x^2) using the Chain Rule.

Front

Find the derivative of e^(tan(x)).

Back

e^(tan(x)) * sec^2(x) using the Chain Rule.