WebBelow is the working for how to derive the derivatives of sec x using this: d/dx (sec x) = d/dx ((cosx)^-1) = -1 * (cos x)^-2 * d/dx (cos x) = -1 * (cos x)^2 * (-sin x) = sin x/(cosx)^2 … WebExample 1: What is the derivative of sec x · tan x? Solution: Let f(x) = sec x · tan x = uv. By product rule, f'(x) = uv' + vu' = (sec x) d/dx (tan x) + (tan x) d/dx (sec x) = (sec x)(sec 2 …
Find the Derivative - d/dx xtan(x) Mathway
WebCalculus AB/BC – 2.10 Derivatives of tan (x), cot (x), sec (x), csc (x) Watch on Need a tutor? Click this link and get your first session free! Packet calc_2.10_packet.pdf Download File Want to save money on printing? Support us and buy the Calculus workbook with all the packets in one nice spiral bound book. Practice Solutions Download File WebSep 7, 2024 · Find the derivative of f(x) = cscx + xtanx. Solution To find this derivative, we must use both the sum rule and the product rule. Using the sum rule, we find f′ (x) = d dx(cscx) + d dx(xtanx). In the first term, d dx(cscx) = − cscxcotx, and by applying the product rule to the second term we obtain d dx(xtanx) = (1)(tanx) + (sec2x)(x). domestic relations franklin pa
Derivative of secx tanx: Formula, Proof, Examples, Solution
WebDerivative proof of tan (x) We can prove this derivative by using the derivatives of sin and cos, as well as quotient rule. Write tangent in terms of sine and cosine. Take the derivative of both sides. Use Quotient … WebCalculus. Calculus questions and answers. Find the derivative of sec x (1-tanx) Weby= e^x (7x+2) y^1= 7xe^x+9e^x. Find derivative: y= 15x^2 - xsinx. y^1= 30x-sinx-xcosx. Derivative of [tanx] sec^2x. Derivative of [secx] secx tanx. domestic relations dauphin county