Find $f^{\prime}$ in terms of $g^{\prime}$ . $f(x)=x^{5} g(x)$
A) $f^{\prime}(x)=5 x+g^{\prime}(x)$
B) $f^{\prime}(x)=x^{5} g(x)+5 x^{5} g^{\prime}(x)$
C) $f^{\prime}(x)=5 x f^{\prime}(x)+5 x g^{\prime}(x)$
D) $f^{\prime}(x)=5 x g(x)+x^{5} g^{\prime}(x)$
E) $f^{\prime}(x)=5 x g^{\prime}(x)$

Question

Quizplus · Accepted Answer

The derivative of $f(x) = x^5 g(x)$ using the product rule is $f^{\prime}(x) = 5x^4 g(x) + x^5 g^{\prime}(x)$.

Find f′f^{\prime}f′ In Terms Of g′g^{\prime}g′ f(x)=x5g(x)f(x)=x^{5} g(x)f(x)=x5g(x) A) f′(x)=5x+g′(x)f^{\prime}(x)=5 x+g^{\prime}(x)f′(x)=5x+g′(x) B) f′(x)=x5g(x)+5x5g′(x)f^{\prime}(x)=x^{5} g(x)+5 x^{5} g^{\prime}(x)f′(x)=x5g(x)+5x5g′(x)

Find $f^{\prime}$ In Terms Of $g^{\prime}$ $f(x)=x^{5} g(x)$ A) $f^{\prime}(x)=5 x+g^{\prime}(x)$ B) $f^{\prime}(x)=x^{5} g(x)+5 x^{5} g^{\prime}(x)$