WebDec 15, 2024 · A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. WebHere is the derivative of that: y = x^ln x let u = ln x thus, x = e^u thus, du = dx/x thus, y= x^ln x = (e^u)^u = e^ (u²) Let w = u² Thus, dw = 2u du e^ (u²)= e^w Taking the derivative: dy = e^w dw dy = e^ (u²) (2u) (du) dy = (x^ln x) (2 ln x) (dx/x) dy = (2 ln x) x^ [ln (x) - 1)]dx dy/dx = (2 ln x) x^ [ln (x) - 1)] ( 3 votes) peaceumoru
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WebFind the derivative of the function f(x) = 1/x^ Solution: The derivative of 1/x^2 is -2/x^ Find the definite integral of the function f(x) = x^2 + 3x + 2 from x = 0 to x = 1 Solution: The definite integral of x^2 + 3x + 2 from x = 0 to x = 1 can be found using the antiderivative of x^2 + 3x + 2, which is x^3/3 + 3x^2/2 + 2x. WebYou are trying to take the derivative of the function f (x)=3ln (x) As the definition of the derivative is f' (x)= lim_h->0 (f (x+h)-f (x))/h You already have the derivative in the statement you have written above. All you … pops reviews
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Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. ... derivative 3lnx. en. image/svg+xml. Related Symbolab blog posts. Practice, practice, practice. WebMay 20, 2024 · What is the derivative of 3lnx ?? See answer Advertisement Advertisement theanonguy theanonguy Answer: 3/x. Step-by-step explanation: d/dx (3lnx) = 3 d/dx(lnx) … pops rite popcorn company