y=2 sin x cos x ? Question:what is the derivative of y=2 sin x cos x ? Implicit Differentiation :Consider a function f(x) its derivative with respect to x can be found by ddxf(x)=f′(x) For a function f(y) its derivative with respect to x gives ddxf(y)=f′(y)dydx Deri...
Evaluate: intsqrt((1-sin2x)/(1+sin2x))dx 06:03 sqrt([sin2x]-[cos2x]) Find the range 09:58 Find nth derivative of the following e^(x)sin x sin2x 03:39 find the derivative of sqrt(sin2x) 01:46 Find the derivative of sin2x 00:39 Find the derivatives of sqrt((1-sin2x)/(...
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...
derivative of log(sin x^2) 01:05 derivative of log (sec 2x +tan 2 x) 01:23 derivative of log {log (cos x} 01:14 Differentiate logtan(pi/4+x/2) with respect to x : 03:36 Differentiate logsqrt((1+sinx)/(1-sinx)) with respect to x : 03:28 Find the differential coefficient...
Find the derivative of sin (xy) = x^2-y. Find the derivative: y = \frac{e^{2x} \sin 4x}{x^4 + 1} . Find the derivative of y = 7 x sin x + x^8 cos x. Find the derivative of y = (sin 4x)(5x). Find the derivative. y = (sin 3x)/(1 + cos 2x) Find the deriv...
Use the second derivative test where applicable: {eq}f(x) = \sin^2x - \cos^2x, (0,2 \pi){/eq} Relative Extrema The relative extreme values of a function are the values of a function calculated at its critical points, such that the derivative func...
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 ofsin6(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) ...
Find the derivative of {eq}y = \cos(x^4 - 2x + 19) {/eq}.Derivative of a Cosine Function:The derivative of the cosine function {eq}\cos(x) {/eq} is {eq}-\sin(x) {/eq}. If we want to incorporate the chain rule into the trigonometric derivative {eq}\displaystyle \frac{\...
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