Derivatives of Trigonometric Functions

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 sec²(x).

Front

What is the derivative of cot(x)?

Back

The derivative of cot(x) is -csc²(x).

Front

What is the derivative of sec(x)?

Back

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

Front

What is the derivative of csc(x)?

Back

The derivative of csc(x) is -csc(x)cot(x).

Front

If f(x) = sin(kx), what is f'(x)?

Back

f'(x) = kcos(kx).

Front

If f(x) = cos(kx), what is f'(x)?

Back

f'(x) = -ksin(kx).

Front

What is the chain rule in differentiation?

Back

The chain rule states that if a function y = f(g(x)), then the derivative is dy/dx = f'(g(x)) * g'(x).

Front

What is the product rule in differentiation?

Back

The product rule states that if u(x) and v(x) are functions, then the derivative of their product is (u*v)' = u'v + uv'.