Find the derivative of the function.
-$f(x)=\frac{5}{(2 x-3)^{4}}$
A) $f^{\prime}(x)=\frac{5}{8(2 x-3)^{5}}$
B) $f^{\prime}(x)=\frac{5}{4(2 x-3)^{3}}$
C) $f^{\prime}(x)=\frac{-40}{(2 x-3)^{3}}$
D) $f^{\prime}(x)=\frac{-40}{(2 x-3)^{5}}$

Question

Quizplus · Accepted Answer

The derivative of $f(x)=\frac{5}{(2 x-3)^{4}}$ can be found using the chain rule. Rewrite the function as $f(x)=5(2x-3)^{-4}$. The derivative is $f'(x) = 5 \cdot -4(2x-3)^{-5} \cdot 2 = \frac{-40}{(2x-3)^{5}}$.

Find the Derivative of the Function f(x)=5(2x−3)4f(x)=\frac{5}{(2 x-3)^{4}}f(x)=(2x−3)45​ A) f′(x)=58(2x−3)5f^{\prime}(x)=\frac{5}{8(2 x-3)^{5}}f′(x)=8(2x−3)55​ B) f′(x)=54(2x−3)3f^{\prime}(x)=\frac{5}{4(2 x-3)^{3}}f′(x)=4(2x−3)35​

Find the Derivative of the Function $f(x)=\frac{5}{(2 x-3)^{4}}$ A) $f^{\prime}(x)=\frac{5}{8(2 x-3)^{5}}$ B) $f^{\prime}(x)=\frac{5}{4(2 x-3)^{3}}$