Find the slope of the line tangent to the graph of y = sin $\left( \frac { \pi } { 2 } - x \right)$ - cos x at x =
$\frac { \pi } { 4 }$ .
A) $\frac { 1 } { 2 }$
B) 0
C) $\frac { \sqrt { 2 } } { 2 }$
D) $\sqrt { 2 }$

Question

Quizplus · Accepted Answer

The derivative of y = sin($\frac{\pi}{2} - x$) - cos(x) is y' = -cos($\frac{\pi}{2} - x$) + sin(x). At x = $\frac{\pi}{4}$, this becomes -cos($\frac{\pi}{4}$) + sin($\frac{\pi}{4}$) = -$\frac{\sqrt{2}}{2}$ + $\frac{\sqrt{2}}{2}$ = 0.

Find the Slope of the Line Tangent to the Graph (π2−x)\left( \frac { \pi } { 2 } - x \right)(2π​−x)

Find the Slope of the Line Tangent to the Graph $\left( \frac { \pi } { 2 } - x \right)$