Main derivatives identities can be obtained from the derivative definition by taking corresponding
limits
Below represented all the rules needed to calculate the derivative of any expression.
Constant derivative:
c'=0, (c - constant)
Derivative of the sum is the sum of derivatives:
Derivative of the difference is the difference of derivatives:
Multiplication derivative:
Fraction derivative:
Derivative of the composition of the functions:
Derivatives of some elementary functions:
Power function:
Root function:
Exponential and logarithmic functions:
Trigonometric functions:
Exponential-power function:
Our online calculator maintains all the derivative rules, that is why it able to
calculate the derivative
of any, even very complicated function.