How do you find the derivative of \displaystyle{y}={\sec{{4}}}{x} ? What is derivative of sec x? 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). 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 derivative calculator supports solving first, second. , fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding. Khanmigo is now free for all us educators! Plan lessons, develop exit tickets, and so much more with our ai teaching assistant. The secant of an angle designated by a variable x is notated as sec (x). The derivative rule for sec (x) is given as: D⁄dxsec (x) = tan (x)sec (x) this derivative rule gives us the ability to quickly. 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 of with respect to is. The derivative of $\boldsymbol{\sec x}$ returns the product of $\boldsymbol{\sec x}$ and $\boldsymbol{\tan x}$. We can prove this derivative by differentiating. Differentiate using the chain rule. Given f (x) = g(h(x)) then. F '(x) = g'(h(x)) × h'(x) ← chain rule. F (x) = sec(4x) ⇒ f '(x) = sec(4x)tan(4x) × d dx (4x) ⇒ f '(x) =. Ai explanations are generated using openai technology. Ai generated content may present inaccurate or offensive content that does not represent symbolab's view. The derivative calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by. You need to first realize: Y = sec4x = (secx)4. Use the chain rule of the power rule (un)' = nun−1u': Let u = secx, u' = secxtanx. Y' = 4(secx)3(secxtanx) rearranging:. Type in any function derivative to get the solution, steps and graph Type in any function derivative to get the solution, steps and graph Calculus differentiating trigonometric functions derivatives of y=sec (x), y=cot (x), y= csc (x) 1 answer. F '(x) = −4csc(4x)cot(4x) explanation: Form 4 or form 5 obligations may continue. See instruction 1 (b). Check this box to indicate that a transaction was made pursuant to a contract, instruction or written plan for. Find the derivative of y=sec(4x). Taking the derivative of secant function: The derivative of a function. Find the derivative of sec(4x). Taking the derivative of secant function: The derivative of a function. The first derivative of sec (4x) is sec (4x)tan (4x)*4. Detailed step by step solution for what is the derivative of sec (4x) ?
