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## How do you solve derivatives?

*So the derivative rule. Says that whenever you have a variable to a power we just pull that number out front so the 10 is going to come right out front and then we simply subtract 1 from our exponent.*

## What is the formula for derivation?

Derivation of Derivative Formula

Derivative of the function y = f(x) can be denoted as **f′(x) or y′(x)**.

## How do you find the derivative quickly?

The quotient rule is **D(f/g) = [gD(f) – fD(g)]/ g^2**. You take the function on the bottom and multiply it by the derivative of the function on the top. Then you subtract the function of the top multiplied by the derivative of the bottom function. Then you divide all of that by the function on the bottom squared.

## What is derivative example?

A derivative is an instrument whose value is derived from the value of one or more underlying, which can be commodities, precious metals, currency, bonds, stocks, stocks indices, etc. Four most common examples of derivative instruments are **Forwards, Futures, Options and Swaps**.

## What is the derivative of 2x?

2

The derivative of 2x is equal to 2 as the formula for the derivative of a straight line function f(x) = ax + b is given by f'(x) = a, where a, b are real numbers. Differentiation of 2x is calculated using the formula **d(ax+b)/dx = a**.

## What is the derivative of 4x?

4

The derivative of 4x is **4**.

## What is the derivative of 1?

zero

Derivative of 1 is **zero**. Reason: Derivative of a constant term is always zero.

## What is the derivative of 4?

Since 4 is constant with respect to x , the derivative of 4 with respect to x is **0** .

## What is the derivative of 6?

0

Calculus Examples

Since 6 is constant with respect to , the derivative of 6 with respect to is **0** .

## What is the derivative of 10?

0

Calculus Examples

Since 10 is constant with respect to x , the derivative of 10 with respect to x is **0** .

## What is the derivative of 2?

2 is a constant whose value never changes. Thus, the derivative of any constant, such as 2 , is **0** .

## What is the derivative of 5?

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

## What is the derivative of 0?

The derivative of zero is **zero**. This makes sense because it is a constant function.

## What’s the derivative of E?

*So correspondingly since we have the function f of X is e to the 4x squared minus 3x. The derivative. Is also going to be e to the 4x squared.*

## What is the derivative of infinity?

Since ∞ is constant with respect to x , the derivative of ∞ with respect to x is **0** .

## What is the derivative of cot?

*Is equal to the sine of X.*

## What are the derivatives of sin cos and tan?

All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as **tan(x) = sin(x)/cos(x)**. Knowing these derivatives, the derivatives of the inverse trigonometric functions are found using implicit differentiation.