If $g(x)=\sqrt{3-5 x}$ find the defination of derivative to find $g^{\prime}(x)$
A) $g^{\prime}(x)=-\frac{5}{2}(3-5 x)^{-1 / 2}$
B) $g^{\prime}(x)=-\frac{5}{2}(3-5 x)^{1 / 2}$
C) $g^{\prime}(x)=-(3-5 x)^{-1 / 2}$
D) $g^{\prime}(x)=-\frac{1}{2}(3-5 x)^{-1 / 2}$
E) None of these

Question

Quizplus · Accepted Answer

Using the power rule and the chain rule, we have:$g'(x) = \frac{d}{dx} \sqrt{3-5x} = \frac{1}{2}(3-5x)^{-1/2} \cdot (-5) = -\frac{5}{2}(3-5x)^{-1/2}$

If g(x)=3−5xg(x)=\sqrt{3-5 x}g(x)=3−5x​ Find the Defination of Derivative to Find g′(x)g^{\prime}(x)g′(x) A) g′(x)=−52(3−5x)−1/2g^{\prime}(x)=-\frac{5}{2}(3-5 x)^{-1 / 2}g′(x)=−25​(3−5x)−1/2

If $g(x)=\sqrt{3-5 x}$ Find the Defination of Derivative to Find $g^{\prime}(x)$ A) $g^{\prime}(x)=-\frac{5}{2}(3-5 x)^{-1 / 2}$