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 ′ ( g ( x)) g ′ ( x) where f (x) = sec(x) f ( x) = sec ( x) and g(x) = 4x g ( x) = 4 x.

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

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

The derivative of with respect to is.

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

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)}.

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

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Find the derivative of sec(4x).

See instruction 1 (b).

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The derivative of a function.

Let u = secx, u' = secxtanx.

What is derivative of sec x?

Differentiate: x^3sec x | Maths Questions

Use the chain rule of the power rule (un)' = nun−1u':

Form 4 or form 5 obligations may continue.

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

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

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

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

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

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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.

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We can prove this derivative by differentiating.

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F (x) = sec(4x) ⇒ f '(x) = sec(4x)tan(4x) × d dx (4x) ⇒ f '(x) =.

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

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

You need to first realize:

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The derivative calculator lets you calculate derivatives of functions online — for free!

F '(x) = −4csc(4x)cot(4x) explanation:

It helps you practice by.

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The derivative of a function.

Ai explanations are generated using openai technology.

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

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

Taking the derivative of secant function:

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

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

Y = sec4x = (secx)4.

Taking the derivative of secant function:

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