Differential question

[Guest]

Hi can u guys show me how to differenate this?

[Guest]

Here is a free online tool that calculate derivatives step by step:
https://www.math10.com/en/problem-solve ... qrt%28x%29

And here is the first problem:
https://www.math10.com/en/problem-solve ... -4%2Fx%5E3

[Guest]

You posted this in "Differential Equations" which is quite a bit more advanced than finding derivatives!

One of the first things you learn in Calculus is the "power rule": If [tex]f(x)= x^n[/tex] then [tex]f'= nx^{n-1}[/tex]. Here the first function is [tex]y= -\sqrt{x}+ x^{-\frac{4}{7}}- \frac{4}{x^3}= -x^{frac{1}{2}}+ x^{-\frac{4}{7}}- 4x^{-3}[/tex]

[Guest]

The second problem is [tex]y= \sqrt{x}(x^2- \sqrt{x})= x^{\frac{1}{2}}(x^2- x^{\frac{1}{2}}= x^{\frac{5}{2}}- x[/tex].

Use [tex](x^n)'= nx^{n-1}[/tex] again.