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,
[tex]f(x)=20\sqrt{x}-\dfrac{x^{20}}{2}[/tex]
[tex]\dfrac{dy}{dx} = 20\dfrac{d}{dx}\sqrt{x}-\dfrac12\dfrac{d}{dx}x^{20}\\\\[/tex]
[tex]\dfrac{dy}{dx} = \dfrac{10}{\sqrt{x}}-10x^{19}[/tex]
Hence, the derivative of the function f(x)=20(√x)-(x²⁰/2) is (10/√x)-10x¹⁹.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
