Derivatives are a fundamental tool of calculus. It is mainly applied when there is the certain varying quantity and the rate of change is not constant. It is mainly used in measuring the sensitivity of one variable with respect to another variable.
For the function f, its derivative is said to be f'(x). The derivative formula is given as,
For example- Find the fourth derivative of f (x) = 2x5
Now by applying the formulae
f (4) (x) = [2x5]”” = [10x4]”’ = [40x3]” = [120x2]’ = 240x
Practice problems on derivatives through solved RD Sharma solutions to have a better understanding of the topic.
Chapter 30 Derivatives