Find the derivative of $y=x^6+x^{\frac{1}{5}}$y=x6+x15.
Give your answer with positive indices.
Differentiate $y=18x\sqrt{x}$y=18x√x. Leave your answer in surd form.
Find the derivative of $y=x^{\frac{1}{2}}+8x^{\frac{3}{4}}$y=x12+8x34.
Consider the function $f\left(x\right)=\left(5x^3-4x^2+3x-5\right)^7$f(x)=(5x3−4x2+3x−5)7.
Redefine the function as composite functions $f\left(u\right)$f(u) and $u\left(x\right)$u(x), where $u\left(x\right)$u(x) is a polynomial.