What is the slope of y=5sec(x)-10cos(x),(pi/3 ,5) ?

The slope of y=5sec(x)-10cos(x),(pi/3 ,5) is 15sqrt(3)

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slope of y=5sec(x)-10cos(x),(pi/3 ,5)

slope

y = 5 sec (x) - 10 cos (x), (\frac{π}{3}, 5)

153

Decimal

25.98076 \dots

Solution steps

y = 5 sec (x) - 10 cos (x)

In order to find the slope of the function, take the derivative of

5 sec (x) - 10 cos (x)

\frac{d}{d x} (5 sec (x) - 10 cos (x)) = 5 sec (x) tan (x) + 10 sin (x)

5 sec (x) tan (x) + 10 sin (x)

Find the value of

5 sec (x) tan (x) + 10 sin (x)

for

x = \frac{π}{3} : 153

153

d er i v a t i v e y = arcsin (3 5 x)

x \to 1 lim (2 3 x^{2} + 1)

\frac{\partial}{\partial z} (2 x y z^{- 1})

\int \frac{3 x ^{2}}{1 - x ^{3}} d x

y^{2} d x + (2 x y + 1) d y = 0, y (9) = 90

What is the slope of y=5sec(x)-10cos(x),(pi/3 ,5) ?
The slope of y=5sec(x)-10cos(x),(pi/3 ,5) is 15sqrt(3)