WebSolution: To find the second derivative of sinx cosx, we will differentiate the first derivative of sinx cosx. The required derivative is given by, d 2 (sinx cosx)/dx 2 = d (cos2x)/dx. = -2sin2x. Answer: d 2 (sinx cosx)/dx 2 = -2sin2x. Example 2: Find the derivative of e to the power sinx cosx. WebJul 21, 2024 · 2\cos(4x) Given function: \sin (2x)\cos (2x) 1/2(2\sin (2x)\cos (2x)) 1/2\sin (4x) Differentiating given function w.r.t. x as follows d/dx(1/2\sin(4x)) =1/2\d/dx(\sin(4x)) =1/2\cos(4x)d/dx(4x) =1/2\cos(4x)(4) =2\cos(4x) ... What is the derivative of #sin(2x)cos(2x)#? Calculus Basic Differentiation Rules Chain Rule. 2 Answers Harish …
Second Derivative Calculator - Symbolab
WebWell the derivative of 5x with respect to x is just equal to 5. And the derivative of negative 3y with respect to x is just negative 3 times dy/dx. Negative 3 times the derivative of y with respect to x. And now we just need to solve for dy/dx. And as you can see, with some of these implicit differentiation problems, this is the hard part. WebDifferentiate sin 2x w. r. t. e cosx. Easy Solution Verified by Toppr Let P=sinx ... (1) Q=e cosx ... (2) On differentiating eq. (1) w.r.t. we get dxdp= dxd (sin 2x)=2sinxcosx ... (3) On … philosophensitz
What is the derivative of sin2x with respect of cos2x? - BYJU
WebSince 2 2 is constant with respect to x x, the derivative of 2x 2 x with respect to x x is 2 d dx [x] 2 d d x [ x]. −2sin2 (2x)+cos2(2x)(2 d dx[x]) - 2 sin 2 ( 2 x) + cos 2 ( 2 x) ( 2 d d x [ x]) … WebMay 8, 2016 · Explanation: We find the derivative using function of a function concept. As f (x) = cos2x − sin2x. d dx f (x) = 2cosx ⋅ ( − sinx) − cos2x ⋅ 2. = −2sinxcosx −2cos2x. = … WebGiven a function , there are many ways to denote the derivative of with respect to . The most common ways are and . When a derivative is taken times, the notation or is used. These are called higher-order derivatives. Note for second-order derivatives, the notation is often used. At a point , the derivative is defined to be . tsh 3 is low