Differentiation Formulas

Front

d/dx (c) = 0

Back

The derivative of a constant is zero.

Front

d/dx (x^n) = n*x^(n-1)

Back

The power rule for differentiation.

Front

d/dx (sin(x)) = cos(x)

Back

The derivative of sine is cosine.

Front

d/dx (cos(x)) = -sin(x)

Back

The derivative of cosine is negative sine.

Front

d/dx (tan(x)) = sec^2(x)

Back

The derivative of tangent is secant squared.

Front

d/dx (e^x) = e^x

Back

The derivative of e raised to x is e raised to x.

Front

d/dx (ln(x)) = 1/x

Back

The derivative of the natural logarithm of x is 1 over x.

Front

d/dx (a^x) = a^x * ln(a)

Back

The derivative of a raised to x is a raised to x times the natural log of a.

Front

d/dx (u*v) = u'v + uv'

Back

The product rule for differentiation.

Front

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

Back

The quotient rule for differentiation.