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Simplify $e^{\frac{\ln\left(x\right)}{x^2}}$ by applying the properties of exponents and logarithms
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x^{\frac{1}{x^2}}\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(e^(ln(x)/(x^2))). Simplify e^{\frac{\ln\left(x\right)}{x^2}} by applying the properties of exponents and logarithms. To derive the function x^{\frac{1}{x^2}}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply natural logarithm to both sides of the equality. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).