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'.