WebFeb 1, 2024 · cos2x = [cosx]2 and so need to use the chain rule to differentiate this, = 2cosx, times the derivative of cosx which is - sinx, so d dx cos2x = − 2sinxcosx. hope this helped. Answer link WebAug 11, 2016 · Explanation: f (x) = (sinx +cosx)2 + (sinx −cosx)2 = 2 so df dx = 0 Answer link Jim H Aug 11, 2016 The function is constant so the derivative is 0 Explanation: (sinx +cosx)2 + (sinx − cosx)2 = (sin2x + 2sinxcosx + cos2x) + (sin2x −2sinxcosx +cos2x) = 1 + 2sinxcosx + 1 − 2sinxcosx = 2 d dx (2) = 0 Answer link
calculus - How to find the derivative of (x)(sinx)(cosx)? (Mostly ...
WebJun 22, 2024 · Explanation: Note that we can write this more compactly as csc2x as cosec x is 1 sinx. But to take the derivative this form in terms of sin is more useful. Use the quotient rule for the overall fraction and the chain rule to differentiate sin2x. d dx [ 1 sin2x] = sin2x ⋅ 0 − 1 ⋅ 2sinxcosx sin4x = − 2sinxcosx sin4x = − 2cosx sin3x = − 2cotxcsc2x WebJun 13, 2024 · Ratnaker Mehta. Jun 13, 2024. ∫2sinxcosxdx = ∫sin2xdx = − 1 2cos2x +C. Answer link. shudder original movies list
Differentiate y = sinx cosx - YouTube
WebDerivative of -2sinxcosx. Function f() - derivative -N order at the point . Find the derivative! The graph: from to . Enter: {piecewise-defined function here. ... The derivative of a constant times a function is the constant times the derivative of the function. Apply the product rule:; to find : WebFeb 8, 2024 · Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos (x) and y=tan (x) 2 Answers Anjali G Feb 8, 2024 y = cosx − sinx cosx + sinx Use the quotient rule: dy dx = (cosx +sinx)( −sinx −cosx) − (cosx − sinx)( − sinx + cosx) (cosx + sinx)(cosx +sinx) Distribute the terms to simplify WebFind the derivative of y= (sinx)(cos). ... sin²x+2sinxcosx+cos²x Since there is a formula that sin²x+cos²x=1, then substitute: 2sinxcosx+1 Since there is also a formula that 2sinxcosx=sin2x, then substitute again. sin2x+1 That is the answer. Hope this helps =) 19. Determine the area of the region bounded by y=x²+2, y=sinx, x=-1 and x=2 the other me tv series