Find the derivative.
-$$y = \frac { 5 } { x } + 4 \sec x$$
A) $y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } + 4 \tan ^ { 2 } x$
B) $y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } + 4 \sec x \tan x$
C) $y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } - 4 \csc x$
D) $y ^ { \prime } = \frac { 5 } { x ^ { 2 } } - 4 \sec x \tan x$

Question

Quizplus · Accepted Answer

We use the sum rule and the power rule of differentiation. 
\begin{align*}
y &= 5x^{-1}+4\sec x\
y' &= \frac{d}{dx}\left(5x^{-1}ight)+\frac{d}{dx}\left(4\sec xight)\
&=-5x^{-2}+4\sec x	an x\
&=-\frac{5}{x^2}+4\sec x	an x
\end{align*} 
Therefore, the best choice is $(B)$.

Find the Derivative y=5x+4sec⁡xy = \frac { 5 } { x } + 4 \sec xy=x5​+4secx

Find the Derivative $y = \frac { 5 } { x } + 4 \sec x$