Contents

## What is the derivative of a square root?

Derivative Rules

Common Functions | Function | Derivative |
---|---|---|

Line | x | 1 |

ax | a | |

Square | x^{2} |
2x |

Square Root | √x | (½)x^{–}^{½} |

## What is the formula of derivative?

Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. It is called the derivative of f with respect to x.

## What is the derivative of 2x?

To find the derivative of 2x, we can use a well-known formula to make it a very simple process. The formula for the derivative of cx, where c is a constant, is given in the following image. Since the derivative of cx is c, it follows that the derivative of 2x is 2.

## What is the chain rule equation?

The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. Using the chain rule and the derivatives of sin(x) and x², we can then find the derivative of sin(x²).

## What is dy dx?

d/ dx is an operation that means “take the derivative with respect to x” whereas dy / dx indicates that “the derivative of y was taken with respect to x”.

## What is the derivative sin 2x?

Using the chain rule to find the derivative of sin(2x)

sin2x | ► Derivative of sin2x = 2cos(2x) |
---|---|

sin 2 x | ► Derivative of sin 2 x = 2cos(2x) |

sin 2x | ► Derivative of sin 2x = 2cos(2x) |

sin (2x) | ► Derivative of sin (2x) = 2cos(2x) |

## What is the derivative of 5?

The derivative of f(x) =5 is 0.