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\frac{d}{dx}\left(4^x-5^x+x^{-2}\right)

Derive the function -15^x+x^(-2)+4^x with respect to x

Answer

$\frac{-2}{x^{3}}+\frac{17}{\sqrt{3}}4^x-\sqrt[4]{45}5^x$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(4^x-5^x+x^{-2}\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(x^{-2}\right)+\frac{d}{dx}\left(-5^x\right)+\frac{d}{dx}\left(4^x\right)$

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Answer

$\frac{-2}{x^{3}}+\frac{17}{\sqrt{3}}4^x-\sqrt[4]{45}5^x$

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$\frac{d}{dx}\left(4^x-5^x+x^{-2}\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.64 seconds