What is the derivative of 15(cos(x)-xsin(x)) ?

The derivative of 15(cos(x)-xsin(x)) is 15(-2sin(x)-xcos(x))

What is the first derivative of 15(cos(x)-xsin(x)) ?

The first derivative of 15(cos(x)-xsin(x)) is 15(-2sin(x)-xcos(x))

derivative of

15 (cos (x) - x sin (x))

15 (- 2 sin (x) - x cos (x))

Solution steps

\frac{d}{d x} (15 (cos (x) - x sin (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 15 \frac{d}{d x} (cos (x) - x sin (x))

Apply the Sum/Difference Rule:

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

= 15 (\frac{d}{d x} (cos (x)) - \frac{d}{d x} (x sin (x)))

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

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

= 15 (- sin (x) - (sin (x) + x cos (x)))

Simplify

= 15 (- 2 sin (x) - x cos (x))

x \to 1 - lim (\frac{6}{x ^{3} - 1})

9 y^{^{''}} + 48 y^{^{'}} + 64 y = 0

f^{^{'}} (x) = - x

\frac{d}{d x} ((arctan (9 x))^{2})

\frac{d}{d t} (a cos (10 t) + b sin (10 t))

What is the derivative of 15(cos(x)-xsin(x)) ?
The derivative of 15(cos(x)-xsin(x)) is 15(-2sin(x)-xcos(x))
What is the first derivative of 15(cos(x)-xsin(x)) ?
The first derivative of 15(cos(x)-xsin(x)) is 15(-2sin(x)-xcos(x))