Using the rules and general formulas of derivatives we can easily differentiate the given function. Answer and Explanation: We are asked to get the derivative of the function, y=sin(2x)tan(x2) To get the first derivative, we......
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)/(...
Example: What is d dx sin(x2) ? sin(x2) is made up of sin() and x2: f(g) = sin(g) g(x) = x2 The Chain Rule says: the derivative of f(g(x)) = f'(g(x))g'(x) The individual derivatives are: f'(g) = cos(g) g'(x) = 2x So: d dx sin(x2) = cos(g(x...
Answer to: Determine derivative of sin x 2 . By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
Find the derivative of the following function with respect to 'x' log... 06:09 Find dy/dx if y=tan^2((pix^2)/2) 01:42 Differentiate sqrt((1-tanx)/(1+tanx)) w.r.t.x. 02:48 Differentiate w.r.t x e^(x) log (sin 2x) 04:14 If y=sqrt((1-x)/(1+x) then (dy)/(...
Here you can see the derivative f'(x) and the second derivative f''(x) of some common functions.Notice how the slope of each function is the y-value of the derivative plotted below it.For example, move to where the sin(x) function slope flattens out (slope=0), then see that the...
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...
[1/1]Find the first derivative of function 2sin(2x−π8)−2sin(x−π4) with respect to x: Solution:==Primitive function =2sin(2x−18π)−2sin(x−14π)The first derivative function:d(2sin(2x−18π)−2sin(x−14π))dx2cos(2x−18π)(2+0)−2cos(x−14π)(...
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) ...
(x)=sqrt(3+\sqrt{7x)}derivative off(x)=3+7xtangent of f(x)=x^2+3,(4,19)tangent off(x)=x2+3,(4,19)e^{2x}sin(2y)dx+(2-e^{2x})sec(2y)dy=0e2xsin(2y)dx+(2−e2x)sec(2y)dy=0(\partial)/(\partial x)((ln(2x^2+5))/(y^2))∂x∂(y2ln(2x2+...