Find the derivative of $y=\left(5x\right)^3+6\sqrt[3]{x}$y=(5x)3+6^{3}√x.

Differentiate $y=x^{\frac{5}{3}}+\left(4x-7\right)^6$y=x53+(4x−7)6.

Differentiate $y=\left(x+7\right)^5-\frac{3}{x^4}$y=(x+7)5−3x4.

Differentiate $y=x^4-4x+6\sqrt{x-7}$y=x4−4x+6√x−7.

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

Apply differentiation methods in solving problems