WebAt a point x = a x = a, the derivative is defined to be f ′(a) = lim h→0 f(a+h)−f(h) h f ′ ( a) = lim h → 0 f ( a + h) − f ( h) h. This limit is not guaranteed to exist, but if it does, f (x) f ( x) is said to be differentiable at x = a x = a. Geometrically speaking, f ′(a) f ′ ( a) is the slope of the tangent line of f (x) f ( x) at x = a x = a. WebNov 14, 2015 · Explanation: We have two terms: x and e−2x2. The product rule states that the derivative of the product of the two will equal the following: f '(x) = d dx [x] ⋅ e−2x2 …
Derivative of f(x) = lne^(2x) #shorts - YouTube
WebApr 17, 2024 · How do you differentiate f (x) = xe−2x using the product rule? Calculus Basic Differentiation Rules Product Rule 1 Answer Binayaka C. Apr 17, 2024 f '(x) = e−2x(1 − … WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. Functions. Line Equations Functions Arithmetic & Comp. Conic Sections Transformation. charlotte jones and amir
Solve xe^2x Microsoft Math Solver
WebFeb 26, 2013 · As far as my knowledge is concerned, The derivative can be calculated by using d/dx (uv) = u dv/dx + v du/dx d/dx (xe^2x) = x d/dx (e^2x) + e^2x as d/dx x = 1 = 2x e^2x + e^2x as d/dx (e^y) = e^y dy/dx [using chain rule] Therefore, the derivative of xe^ (2x)=1. Hope this is useful. maths homework maths assignments help H HallsofIvy Apr … WebThe Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported. WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. ... \int xe^{2x}dx. en. image/svg+xml. Related Symbolab blog posts. My Notebook, the Symbolab way. charlotte johnson youtube