Find the derivative ofy=sin2(x)(x3+1)4(x+3)8. Product, Quotient, and Chain Rule: In this problem we have a complicated function involving a rational function and the sine function. We need three rules: product, quotient, and chain: ...
How do you find the derivative of y=cos(2x)?Question:How do you find the derivative of y=cos(2x)? Chain Rule:In calculating derivatives, we sometimes encounter a composition of functions. For someone new to calculus, this can be daunting. However, there is a simple rule to follo...
The derivative is \(2x\sin x - x^{2}\cos x\) 相关知识点: 试题来源: 解析 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\...
Find the derivative of y=x\sin ^{-1}x+\sqrt{1-x^{2 Find the derivative of the function. y \ = \ csc\left ( cotx \right ) Find the derivative of f(x) = 4 cos x^2 - 2 cos^2x. Find the derivative of (x^2 + sin x) sec x. Determine the derivative of \tan(x)\ at ...
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...
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)...
The derivative ofcosec−1(12x2−1)with respect to √1−x2atx=12, is View Solution 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 ...
(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+...
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) ...
Find the derivate of y = e^x log (1+x^2) . View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board,...