WebMar 15, 2024 · The derivative of sec square x is written as twice the product of sec square x and tangent x. d d x ( sec 2 x) = 2 sec 2 x. tan x. As we know that the derivative of … WebDec 11, 2014 · Let y=sec^{-1}x. by rewriting in terms of secant, => sec y=x by differentiating with respect to x, => sec y tan y cdot y'=1 by dividing by sec y tan y, => y' = 1/{sec y tan y} since sec y =x and tan x = sqrt{sec^2 y -1}=sqrt{x^2-1} => y'=1/{x sqrt{x^2-1}} Hence, d/dx(sec^{-1}x)=1/{x sqrt{x^2-1}} I hope that this was helpful.
Derivatives of inverse trigonometric functions - An approach to …
WebFormula. d d x ( sec x) = sec x tan x. The differentiation or derivative of secant function with respect to a variable is equal to the product of secant and tangent functions. This … WebMar 30, 2024 · Finding derivative of Inverse trigonometric functions. Derivative of cos-1 x (Cos inverse x) Example 26 Important Example 27 Derivative of cot-1 x (cot inverse x) Derivative of sec-1 x (Sec inverse x) You are here Derivative of cosec-1 x (Cosec inverse x) Ex 5.3, 14 Ex 5.3, 9 Important Ex 5.3, 13 Important Ex 5.3, 12 Important Ex 5.3, 11 ... dickies insulated coveralls near me
Derivative of sec x
WebJan 31, 2024 · This method requires knowing the derivative of a constant, the quotient rule for derivatives, and what the derivative of sec(x) is. The derivative of sec(x) is sec'(x) = sec(x)tan(x). 1) Write the ... Webuse the chain rule to calculare the derivative of dy/dx. Show transcribed image text. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. 1st step. All steps. Final answer. Step 1/2. WebNov 13, 2024 · Using the chain rule, the derivative of sec (2x) is 2sec (2x)tan (2x) Finally, just a note on syntax and notation: sec (2x) is sometimes written in the forms below (with the derivative as per the calculation above). Just be aware that not all of the forms below are mathematically correct. sec2x. Derivative of sec2x = 2sec (2x)tan (2x) citizens one bank auto loan payment