Answer to: How do you find the derivative of y = cos (2x)? By signing up, you'll get thousands of step-by-step solutions to your homework...
A。解析:对于函数\(y = uv\)(这里\(u = x^{2}\),\(v=\sin x\)),根据乘积法则\((uv)^\prime = u^\prime v+uv^\prime\)。\(u = x^{2}\)的导数\(u^\prime = 2x\),\(v=\sin x\)的导数\(v^\prime=\cos x\),所以\(y^\prime = 2x\sin x+x^{2}\cos x\)。选项B中符...
Differentiation of compound functions can be found by Consider a compound function y=f(g(x)) then its derivative is given by ddxy=ddxf(g(x)) is given by dydx=f′(g(x))g′(x) Some useful derivatives are ddxsinx=cosx
limit as x approaches infinity of x^{2x}x→∞lim(x2x)derivative of cos(2x+sin(2pi))dxd(cos(2x)+sin(2π))integral from 1 to t of (25)/(x^3)∫1tx325dxderivative of cos(x+a)dxd(cos(x+a))inverse oflaplace 7/(s^5)inverse laplaces57 ...
Derivative off(x)=x2is View Solution The derivative off(x)=x2atx=1is View Solution The derivative off(x)=x2+2xatx=2is View Solution The derivative off(x)=2√x−1xis View Solution The anti - derivative off(x)=ex/2whose graph passes through the point (0,3) is : ...
Find the derivative. y = x^2sin^4 x + x cos^{-2} x Find the derivative y ' for the following y = 5sec (2x^2) + 6 tan^4(2x) Find the derivative of f(x) = (x^2+ 5)^3 (3x^3 -2)^2. Find the derivative of y= cos^{-1}(10/x) ...
derivative of sin6(x) Solution 6sin5(x)cos(x)Hide Steps Solution steps dxd(sin6(x)) Apply the chain rule:6(sin(x))5dxd(sin(x)) =6(sin(x))5dxd(sin(x)) dxd(sin(x))=cos(x) =6(sin(x))5cos(x) Simplify=6sin5(x)cos(x)...
Derivative ofsec−1(11−2x2)w.r.t.sin−1(3x−4x3)is View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics
The derivative of a function f(x) tells the rate of change of f(x) with respect to x. {eq}\frac{d}{dx} \sin ax =a \cos x \\ \frac{d}{dx} \cos ax =-a \sin x \\ {/eq} Differentiation:Definition using Limits: We define the derivative of a function as {eq}\dfrac{dy}...
How to find thenthnthderivative ofsin3xcos2xsin3xcos2x? Let me explain how I tried. Actually this question is fromHigher Engineering Mathematicsby B.S. Grewal. I wrotesin3xcos2x=sin3x(1−sin2x)sin3xcos2x=sin3x(1−sin2x) ...