What is the derivative of the function y = arcsin(x^2)? What is the derivative of the function y = 5x^2 + 6x - 8? What is the derivative of y=cos(e^2x)? Find: What is the derivative of (10x^2+1)e^{3x} Explore our homework questions and answers library ...
Find the derivative of the following function: a.) f ( x ) = \sqrt [ 3 ] { x } ( x + 7 ) b.) f ( x ) = \frac { x + 3 } { \sqrt { x } } Find the derivative of the following function. f(x) = sqrt 2x^2 - 3x (x^3 - 1)^2 Find the derivative of the func...
解析 Differentiate using the chain rule, which states that ( d/(dx)[f(g(x))]) is ( f()' (g(x))g()' (x)) where ( f(x)=(arcsin)(x)) and ( g(x)=1-2x^2).( 1/(√(1-((1-2x^2))^2))d/(dx)[1-2x^2])Differentiate.( -(4x)/(√(1-((1-2x^2))^2))...
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
Function image Hot issues Derivative function: Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
Taking the Derivative of arcsin: How-To & Tutorial Proving the Sum & Difference Rules for Derivatives Using the Derivatives of Natural Base e & Logarithms Calculating Derivatives of Constant Functions Create an account to start this course today Used by over 30 million students worldwide Create...
Answer and Explanation:1 Given: f(x)=3x2 We will use the definition of the derivative formula. As we know the derivative formula is: {eq}\begin{align*} \di... Learn more about this topic: Derivatives: The Formal Definition from
derivative ofarcsin(4x) Solution 16−x21 Hide Steps Solution steps dxd(arcsin(4x)) Apply the chain rule:1−(4x)21dxd(4x) =1−(4x)21dxd(4x) dxd(4x)=41
integral from 0 to 1/3 of 2arcsin(3y)∫0312arcsin(3y)dyintegral of 9xe^{8x}∫9xe8xdxintegral of (e^{-3x}-1)^2∫(e−3x−1)2dx(dy)/(dx)-2y=2xdxdy−2y=2xderivative of x^{8/5}dxd(x58) Frequently Asked Questions (FAQ) What is the derivative of sin^6(x) ? The derivat...
d/dx tan(x) = 1 - tan2(x) d/dx arcsin(x) = 1/sqrt(1-x2) d/dx arccos(x) = -1/sqrt(1-x2) d/dx arctan(x) = 1/(1+x2) Applications of the Derivative The derivative comes up in a lot of mathematical problems. An example is finding the tangent line to a function in ...