Differentiation Essentials

Front

Process of finding derivative

Back

Definition of Differentiation

Front

nx^(n-1)

Back

Derivative of x^n

Front

d/dx[x^n] = nx^(n-1)

Back

Power Rule

Front

d/dx[uv] = u'v + uv'

Back

Product Rule

Front

d/dx[u/v] = (u'v - uv')/v^2

Back

Quotient Rule

Front

d/dx[f(g(x))] = f'(g(x))g'(x)

Back

Chain Rule

Front

cos(x)

Back

Derivative of sin(x)

Front

-sin(x)

Back

Derivative of cos(x)

Front

e^x

Back

Derivative of e^x

Front

Where f'(x) = 0 or undefined

Back

Critical Points