WebFind the Derivative - d/d@VAR f (x)=xsin (2x) f (x) = xsin(2x) f ( x) = x sin ( 2 x) Differentiate using the Product Rule which states that d dx[f (x)g(x)] d d x [ f ( x) g ( x)] is f (x) d dx[g(x)]+g(x) d dx [f (x)] f ( x) d d x [ g ( x)] + g ( x) d d x [ f ( x)] where f (x) = x f ( x) = x and g(x) = sin(2x) g ( x) = sin ( 2 x). WebThe correct option is A x e x 2 sin x + x sin x + x cos x Explanation for correct option: Given, d d x x 2 e x sin x Apply theorem for multiplication. d d x u · v = d u d x × v + u d v d x = 2 x e x sin x + x 2 e x sin x + x 2 e x cos x = x e x 2 sin x + x sin x + x cos x Hence, correct answer is option A Integration by Substitution
Answered: Use logarithmic differentiation to find… bartleby
WebFind the Derivative - d/d@VAR f(x)=xsin(2x) Differentiate using the Product Rule which states that is where and . Differentiate using the chain rule, which states that is where … WebThe 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 … hightstown nj apartments for rent
3.5: Derivatives of Trigonometric Functions - Mathematics LibreTexts
WebAnswer: The derivative of sin (log x) is [cos (log x)] / [x ln 10]. Example 2: Find the derivative of sin x cos x using the formula of derivative of sin x. Solution: Let y = sin x cos x Multiplying and dividing by 2, y = (1/2) (2 sin x cos x) By double angle formula of sin, 2 sin x cos x = sin 2x. y = (1/2) sin 2x WebExpert Answer. 1st step. All steps. Final answer. Step 1/1. Given function is y = x sin ( 2 x) we will find differentiation of given function. First of all we apply logarithm on both sides. View the full answer. WebQuestion: Find the derivative of the function. y=xsin(x2) y′(x)= 15 Points] Differentiate. f(θ)=θcos(θ)sin(θ) 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. hightstown new jersey united states