Chain rule in calculus

This proofs show that the derivative of a nested function is the derivative of the outer function multiplied by the derivative of the inner function.

Coefficient rule in calculus

This proof shows that the derivative of a function with a coefficient is the coefficient times the derivative of that function.

Constant rule in calculus

This proofs shows that the derivative of a constant is always zero.

Exponent rule in calculus

This proofs show the derivative of a^x is a^x * ln(a).

Log rule in calculus

This proofs shows the derivative of a logarithmic function.

Power rule in calculus

This proofs shows that the derivative of x^r is r * x^(r - 1).

Product rule in calculus

This proof shows that the derivative of a product g*j is g'*j + g*j'.

Quotient rule in calculus

This proof shows that the derivative for the quotient or fraction a/b is (a'b - ab') / b^2.

Sum rule in calculus

This proofs shows that the derivative of two functions is the derivative of the first function plus the derivative of the second function.

The definition of the derivative

This proofs shows what the definition of the derivative is and how it came about

Derivative of cos(x)

This proof shows what the derivative of cos(x) is.

The derivative of e to the x

This proof shows that the definition of e^x is e^x.

The derivative of ln(x)

This proof shows that the derivative of ln(x) is 1/x.

Derivative of sin(x)

This proof shows what the derivative of sin(x) is.

Derivative of tan(x)

This proof shows what the derivative of tan(x) is.