# What are the rules of derivatives in calculus?

## What are the rules of derivatives in calculus?

Derivative Rules

Common Functions Function Derivative
Difference Rule f – g f’ − g’
Product Rule fg f g’ + f’ g
Quotient Rule f/g f’ g − g’ fg2
Reciprocal Rule 1/f −f’/f2

What are the five rules of differentiation?

Some differentiation rules are a snap to remember and use. These include the constant rule, power rule, constant multiple rule, sum rule, and difference rule.

Does HX mean history?

Hx (uncountable) (medicine) Abbreviation of history.

### How do you work out the derivatives of many functions?

There are ruleswe can follow to find many derivatives. For example: The slope of a constantvalue (like 3) is always 0 The slope of a linelike 2x is 2, or 3x is 3 etc and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below).

How to find the derivative of a function for problems 1-12?

For problems 1 – 12 find the derivative of the given function. Determine where, if anywhere, the function f (x) = x3 +9×2−48x+2 f ( x) = x 3 + 9 x 2 − 48 x + 2 is not changing. Solution Determine where, if anywhere, the function y =2z4 −z3−3z2 y = 2 z 4 − z 3 − 3 z 2 is not changing.

What is the derivative rule in calculus?

Derivative Rules The Derivative tells us the slope of a function at any point. “multiply by power then reduce power by 1” which simplifies to −x −2 dy dx = dy du du dx d dx sin(x 2) = d du sin(u) d dx x 2 d dx sin(x 2) = cos(u) (2x)

## What is the derivative?

The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives. and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below ). Note: the little mark ’ means “Derivative of”, and f and g are functions.