WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 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
Calculus problems with answers - Find the derivative of the
WebThe derivative of a function represents its a rate of change (or the slope at a point on the graph). What is the derivative of zero? The derivative of a constant is equal to zero, hence the derivative of zero is zero. What does the third derivative tell you? The third derivative is the rate at which the second derivative is changing. WebFind the Derivative of f(x) = ln(x)/x^3 using the Quotient Rule for Derivatives - YouTube Find the Derivative of f(x) = ln(x)/x^3 using the Quotient Rule for DerivativesIf you... list of populated city in brazil
Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation ...
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. WebSimplify e^(3 ln x) 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. imgtown 6010