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. WebAug 23, 2016 · let u = sinx ⇒ du dx = cosx. and y = u5 ⇒ dy du = 5u4. substitute these values into (A) convert u back to x. ⇒ dy dx = 5u4(cosx) = 5sin4xcosx. Answer link.

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WebDerivative Calculator. Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as … WebArcsin is the inverse of sin, such that arcsin (sin (x)) = x, or sin (arcsin (x))=x. Like the square/square root example, if you have y=sin (x), which is y in terms of x, but you want to take that expression and find x in terms of y, then given: y=sin (x) take the arcsin of both sides: sin^-1 (y)=sin^-1 (sin (x)), so that: sin^-1 (y)=x the plaza resort and spa promo code

Find the Derivative - d/dx y=sin(5x) Mathway

WebFeb 9, 2024 · Taking logarithms, ln ( y) = ln ( ( 5 x) sin ( x)) = sin ( x) ln ( 5 x) because (at least when a > 0) ln ( a b) = b ln ( a). And then ln ( 5 x) = ln ( 5) + ln ( x), so. ln ( y) = sin ( x) ln ( 5) + sin ( x) ln ( x) Share. Cite. Follow. answered Feb 9 at 0:03. Robert Israel. 1. WebHow do you calculate derivatives? To calculate derivatives start by identifying the different components (i.e. multipliers and divisors), derive each component separately, carefully … Web4.4 The Derivative of. sin. x. , continued. [Jump to exercises] Now we can complete the calculation of the derivative of the sine: d d x sin x = lim Δ x → 0 sin ( x + Δ x) − sin x Δ x = lim Δ x → 0 sin x cos Δ x − 1 Δ x + cos x sin Δ x Δ x = sin x ⋅ 0 + cos x ⋅ 1 = cos x. The derivative of a function measures the slope or ... the plaza rehab \u0026 nursing