WebSometimes, we can rewrite a product as a simple polynomial. We could apply the product rule to differentiate (x+5) (x-3) (x +5)(x −3), but that would be a lot more work than what's needed. Instead, we can just expand the expression to x^2+2x-15 x2 +2x −15 then apply the power rule to get the derivative: 2x+2 2x +2. WebMar 6, 2024 · 1: Bring the square (2) outside of the brackets of the whole term. f (x) = sin2(5x) f (x) = (sin(5x))2. 2: Use chain rule by bringing the square to the front of the term and subtracting 1 from 2 outside of the brackets. f (x) = (2sin(5x))2−1. 3: Determine the …
Find the Derivative - d/dx y=x^3sin(5x)^2 Mathway
WebFeb 18, 2024 · What is the derivative of sin 5x? Calculus Basic Differentiation Rules Chain Rule 1 Answer Alan P. Feb 18, 2024 dsin(5x) dx = 5cos(5x) Explanation: Remember the Chain Rule for Derivatives: XXX df (g(x)) dx = df (g(x)) dg(x) ⋅ dg(x) dx If we let XXXf (x) = sin(x) and XXXg(x) = 5x then f (g(x)) = sin(5x)XX (the expression given in the question) Webwith respect to x. Mathematics. JAMB 2002. Find the derivative of y = sin 2 ( 5 x) with respect to x. A. 10 sin 5x cos 5x. B. 5 sin5x cos 5x. C. 2 sin 5x cos 5x. D. 15 sin 5x cos 5x. message to engaged couple
Find the Derivative - d/dx y=sin(5x) Mathway
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 … WebDec 16, 2015 · y' = 5sec2(5x)cos(tan(5x)) Explanation: Use the chain rule. The first overriding issue is the tangent function inside the sine function. y' = cos(tan(5x)) d dx [tan(5x)] Next, use chain rule again to find the derivative of the tangent function. d dx [tan(5x)] = sec25x d dx [5x] = 5sec2(5x) Multiply this back in to find y'. Web\frac{d}{dx}(\sin^{2}(x)\cot(5x)) inverse\:laplace\:\frac{4s-36}{s^{2}-8s+15} Frequently Asked Questions (FAQ) What is the derivative of sin(x)^2 ? The derivative of sin(x)^2 is sin(2x) ... Detailed step by step solution for What is the derivative of sin(x)^2 ? Solutions Graphing Practice; New Geometry; Calculators; Notebook . Groups Cheat ... how tall is mauna kea from the ocean floor