What is the derivative of 5sec(x-10cos(x)) ?

The derivative of 5sec(x-10cos(x)) is 5sec(x)tan(x)+10sin(x)

What is the first derivative of 5sec(x-10cos(x)) ?

The first derivative of 5sec(x-10cos(x)) is 5sec(x)tan(x)+10sin(x)

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\frac{d}{d x} (5 sec (x) - 10 cos (x))

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

Solution steps

\frac{d}{d x} (5 sec (x) - 10 cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (5 sec (x)) = 5 sec (x) tan (x)

\frac{d}{d x} (10 cos (x)) = - 10 sin (x)

= 5 sec (x) tan (x) - (- 10 sin (x))

Simplify

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

(x^{2} + 3) y^{^{'}} = x y

(x^{3} - 9 x)^{12}

x (\frac{d y}{d x}) - y = 3 x^{4}

\frac{d y}{d x}, 7 sin (x) + cos (y) = sin (x) cos (y)

\int 3 x^{5} - x^{3} + 6 d x

What is the derivative of 5sec(x-10cos(x)) ?
The derivative of 5sec(x-10cos(x)) is 5sec(x)tan(x)+10sin(x)
What is the first derivative of 5sec(x-10cos(x)) ?
The first derivative of 5sec(x-10cos(x)) is 5sec(x)tan(x)+10sin(x)