Taking the derivative of secant function:

Type in any function derivative to get the solution, steps and graph

Form 4 or form 5 obligations may continue.

The derivative calculator lets you calculate derivatives of functions online β€” for free!

Ai explanations are generated using openai technology.

Check this box to indicate that a transaction was made pursuant to a contract, instruction or written plan for.

The derivative rule for sec (x) is given as:

Recommended for you

Khanmigo is now free for all us educators!

Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f β€² ( g ( x)) g β€² ( x) where f (x) = sec(x) f ( x) = sec ( x) and g(x) = 4x g ( x) = 4 x.

Find the derivative of y=sec(4x).

What is derivative of sec x?

I. e. , it is the product of sec x and tan x.

We can prove this derivative by differentiating.

We denote the derivative of sec x with respect to x with d/dx (sec x).

Let u = secx, u' = secxtanx.

F '(x) = βˆ’4csc(4x)cot(4x) explanation:

Taking the derivative of secant function:

F (x) = sec(4x) β‡’ f '(x) = sec(4x)tan(4x) Γ— d dx (4x) β‡’ f '(x) =.

How do you find the derivative of \displaystyle{y}={\sec{{4}}}{x} ?

Y' = 4(secx)3(secxtanx) rearranging:.

You need to first realize:

Detailed step by step solution for what is the derivative of sec (4x) ?

The derivative of a function.

Given f (x) = g(h(x)) then.

Differentiate using the chain rule.

Calculus differentiating trigonometric functions derivatives of y=sec (x), y=cot (x), y= csc (x) 1 answer.

The derivative of $\boldsymbol{\sec x}$ returns the product of $\boldsymbol{\sec x}$ and $\boldsymbol{\tan x}$.

It helps you practice by.

Our calculator allows you to check your solutions to calculus exercises.

The secant of an angle designated by a variable x is notated as sec (x).

The derivative of sec x with respect to x is sec x Β· tan x.

Use the chain rule of the power rule (un)' = nunβˆ’1u':

Find the derivative of sec(4x).

Type in any function derivative to get the solution, steps and graph

D⁄dxsec (x) = tan (x)sec (x) this derivative rule gives us the ability to quickly.

You may also like

Plan lessons, develop exit tickets, and so much more with our ai teaching assistant.

The derivatives of \sec (x), \cot (x), and \csc (x) can be calculated by using the quotient rule of differentiation together with the identities \sec (x)=\frac {1} {\cos (x)}, \cot (x)=\frac {\cos (x)}.

F '(x) = g'(h(x)) Γ— h'(x) ← chain rule.

See instruction 1 (b).

The derivative of with respect to is.

You can also get a better visual and understanding.

The derivative of a function.

The derivative calculator supports solving first, second. , fourth derivatives, as well as implicit differentiation and finding the zeros/roots.

Y = sec4x = (secx)4.

The first derivative of sec (4x) is sec (4x)tan (4x)*4.

Ai generated content may present inaccurate or offensive content that does not represent symbolab's view.