Differentiation and Integration Formulas

Front

What is the derivative of a constant k?

Back

0

Front

What is the derivative of the sum of two functions f(x) and g(x)?

Back

f'(x) + g'(x)

Front

What is the derivative of k·f(x)?

Back

k·f'(x)

Front

What is the product rule for differentiation?

Back

f(x)g'(x) + g(x)f'(x)

Front

What is the quotient rule for differentiation?

Back

(g(x)f'(x) - f(x)g'(x)) / [g(x)]^2

Front

What is the chain rule for differentiation?

Back

f'(g(x))·g'(x)

Front

What is the derivative of x^n?

Back

nx^(n-1)

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the derivative of tan(x)?

Back

sec^2(x)