Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
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\...
So: d dx sin(x2) = cos(g(x)) (2x) = 2x cos(x2)Another way of writing the Chain Rule is: dy dx = dy du du dx Let's do the previous example again using that formula:Example: What is d dx sin(x2) ? dy dx = dy du du dx Let u = x2, so y = sin(u): d dx ...
tanx=sinxcosx cotx=cosxsinx 3)cscx=1sinx,among others. Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... ...
Substitution of the aromatic ring with electron-withdrawing groups, such as fluorine, weakens the cation-π interaction. At Trp 149 of the α subunit, the EC50 value for receptor activation was strongly correlated with the degree of fluorination. Because the binding energy is expected to vary ...
y=tan(arcsinx) Derivative of Composite Function: If we have a composition of trigonometric and inverse trigonometric functions (sayT(I(x))), then its derivative is evaluated by applying the chain rule as shown below. dT(I(x))dx×d(I(x))d(I(x))=dT(I(x))d(I(x))⋅d(I...
y=ln|cos(lnx)|. Question:Find the derivative of y=ln|cos(lnx)|. Using Chain Rule to Differentiate Complex FunctionsThe question presents a function that is a composition of three functions, two of which are the natural logarithm function and the third is a cosine function. Using the Chain...
derivative of f(x)=sin(3x)derivative of f(x)=sin(3x)slope of y=-1/2 x-4slope y=−21x−4slope of 2x-5y=9slope 2x−5y=9polar (-2,2)cartesian to polar (−2,2)polar (-3,3)cartesian to polar (−3,3) Frequently Asked Questions (FAQ) What is the derivative of y=arc...
Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
Compute the derivative of the function y= x^2\cosh^2 (3x) Compute the derivative of the function f(x) =cot(2x-1) ? A .\ -2 \ sin(2x-1) \ B .\ 2 \ csc \ 2(2x-1) \ C .\ -2 \ csc \ 2(2x-1) \ D .\ -csc \ 2(2x-1) Compute the derivative of the function...