Calculus
Determine the derivative of h(x)=2x2ln(x)h(x)=2x^{2\(\ln\]\left\)(x\(\right\))}. Evaluate h′(e)h^{\(\prime\)}\(\left\)(e\(\right\)).
Find the derivative of the function y=(2x)3x−2y=\(\left\)(2x\(\right\))^{3\(\sqrt{x-2}\)}.
Use logarithmic differentiation to find the derivative of the function f(x)=x5sin2xx+7f\(\left\)(x\(\right\))=\(\frac{x^5\sin^2x}{\sqrt{x+7^{}\)}}.
Find the derivative of the given function by using logarithmic differentiation or by using the property bx=exlnbb^{x}=e^{x\(\ln\) b}.
y=(7x2+5)xy=\(\left\)(7x^2+5\(\right\))^{x}
