## What is the derivative of Secant?

The derivative of sec x with respect to x is sec x · tan x. i.e., it is the product of sec x and tan x. We denote the derivative of sec x with respect to x with d/dx(sec x) (or) (sec x)’. Thus, d/dx (sec x) = sec x · tan x (or)

## What is the derivative of log5x?

Calculus Examples The derivative of log5(x) log 5 ( x ) with respect to x is 1xln(5) 1 x ln ( 5 ) .

**What is the derivative of a logarithmic function?**

Sayani R. The derivative of a logarithmic function is (1/the function)*derivative of the function.

**What is the exponential rule for derivatives?**

The exponential rule is a special case of the chain rule. It is useful when finding the derivative of e raised to the power of a function. The exponential rule states that this derivative is e to the power of the function times the derivative of the function.

### How do you differentiate sec 1x?

by dividing by secytany ,

- ⇒y’=1secytany.
- ⇒y’=1x√x2−1.
- ddx(sec−1x)=1x√x2−1.

### What is the derivative of log 3?

Calculus Examples The derivative of log3(x) log 3 ( x ) with respect to x is 1xln(3) 1 x ln ( 3 ) .

**What are the derivative formulas?**

General Derivative Formulas:

- ddx(c)=0 where c is any constant.
- ddxxn=nxn–1 is called the Power Rule of Derivatives.
- ddxx=1.
- ddx[f(x)]n=n[f(x)]n–1ddxf(x) is the Power Rule for Functions.
- ddx√x=12√x.
- ddx√f(x)=12√f(x)ddxf(x)=12√f(x)f′(x)
- ddxc⋅f(x)=cddxf(x)=c⋅f′(x)

**What is the derivative of E E X?**

The derivative of the exponential function with base e is equal to ex. The derivative of eax is aeax. Using this formula, we have the differentiation of ex to be 1.

#### How do you find the derivative of Secx 2?

Therefore, to find the derivative of sec 2 x, we take the following steps:

- Find the derivative of f(x) = x 2, which is f'(x) = 2x.
- Plug g(x) = sec x into f'(x) from step 1.
- Multiply the result of step 2 by the derivative of g(x) = sec x, which is g'(x) = secx tanx.

#### What is sec 1x?

sec x−1 = sec(x)−1 = exsec(x) or exsecant of x, an old trigonometric function. sec x−1, sometimes interpreted as (sec(x))−1 = 1sec(x) = cos(x) or cosine of x, the multiplicative inverse (or reciprocal) of the trigonometric function secant (see above for ambiguity)