Question

Solve the problem below and show your work

Answer 1

An expression is defined as a set of numbers, variables, and mathematical operations. The derivative of the function f(x)=20(√x)-(x²⁰/2) is (10/√x)-10x¹⁹.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

$f(x)=20\sqrt{x}-\dfrac{x^{20}}{2}$

$\dfrac{dy}{dx} = 20\dfrac{d}{dx}\sqrt{x}-\dfrac12\dfrac{d}{dx}x^{20}$

$\dfrac{dy}{dx} = \dfrac{10}{\sqrt{x}}-10x^{19}$

Hence, the derivative of the function f(x)=20(√x)-(x²⁰/2) is (10/√x)-10x¹⁹.

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