derivative

Front

What is the derivative of a constant, C?

Back

0

Front

Differentiate y= x^3 + 2x

Back

3x^2 + 2

Front

What is the derivative of ax?

Back

a

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

Front

What is the sum rule in differentiation?

Back

The derivative of a sum of functions is the sum of their derivatives.

Front

What is the product rule for differentiation?

Back

If u and v are functions of x, then (uv)' = u'v + uv'.

Front

What is the quotient rule for differentiation?

Back

If u and v are functions of x, then (u/v)' = (u'v - uv')/v^2.

Front

What is the chain rule in differentiation?

Back

If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

Front

What is the derivative of sin(x)?

Back

cos(x).

Front

What is the derivative of cos(x)?

Back

-sin(x).