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\...
The derivative of u3 with respect to u is given by: ddu(u3)=3u2 3. Differentiate the inner function: Now, we need to differentiate u=2x+1 with respect to x: dudx=2 4. Apply the chain rule: According to the chain rule, the derivative of f(x) with respect to x is: dfdx=d...
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 : ...
However, there is a simple rule to follow to solve these kinds of problems and that is using the Chain rule. Mathematically, if h(x)=f(x)∘g(x)=f(g(x))thenh′(x)=f′(g(x))⋅g′(x) This means we first take the derivative of the outer function f(x) and treat g(x) ...
Finding Derivatives of a Function | Overview & Calculations from Chapter 20 / Lesson 1 117K Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples. Related...
The Derivative of a Function: The strategy of finding the derivative of a function is dependent on the format of the function. If the function is the product of two sub-functions then the product rule is the better choice. Answer and Explanation:1 ...
What is the Derivative of 1/cos(x)? from Chapter 9 / Lesson 11 59K In this lesson, learn how to find the derivative of 1/cos(x). The lesson provides two ways of finding this derivative and also provides the derivatives of the six trigonometric functions. Related...
lim sin2x = lim 2sinxcosx = cos2x lx=0 = 1x→0 ex²-1 x→0 2xex² 2ex²(2x2+1) lx=0 6I don't understand how the transition is made from the second step to the third.Do I say that f(x)=2x and g(x)=e^x2? how do i get g'(x)??Thanks!
Question: Find the derivative.ddx∫π2x2sin3tdta. Evaluate the definite integral.Which of the following is the correct way to find the derivative of the given integral directly?A. Use the Fundamental Theorem of Calculus, Part 1 , with...
ddx(x) Returns the partial derivative of x with respect to the screen-space x-coordinate. ddy(x) Returns the partial derivative of x with respect to the screen-space y-coordinate. degrees(x) Converts x from radians to degrees. determinant(m) Returns the determinant of the square matrix m...