Derivatives of Trigonometric Functions

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

sec²(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

-csc²(x)

Front

Find y' if y = 20 sin⁴(4x).

Back

y' = 320sin³(4x)cos(4x)

Front

If f(x) = 4tan(½⋅x), what is f'(x)?

Back

f'(x) = 2sec²(1/2x)

Front

Find y' if y = 10sin(x) + 3cos(x).

Back

y' = 10cos(x) - 3sin(x)

Front

Find y' if y = (sin(x))/x.

Back

y' = (xcos(x) - sin(x))/x²