What is the derivative of 9(sin(x)+xcos(x)) ?

The derivative of 9(sin(x)+xcos(x)) is 9(2cos(x)-xsin(x))

What is the first derivative of 9(sin(x)+xcos(x)) ?

The first derivative of 9(sin(x)+xcos(x)) is 9(2cos(x)-xsin(x))

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derivative of

9 (sin (x) + x cos (x))

9 (2 cos (x) - x sin (x))

Solution steps

\frac{d}{d x} (9 (sin (x) + x cos (x)))

Take the constant out:

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

= 9 \frac{d}{d x} (sin (x) + x cos (x))

Apply the Sum/Difference Rule:

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

= 9 (\frac{d}{d x} (sin (x)) + \frac{d}{d x} (x cos (x)))

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

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

= 9 (cos (x) + cos (x) - x sin (x))

Simplify

= 9 (2 cos (x) - x sin (x))

f (t) = (3 t - 2)^{5}

y = x^{3}, 0 \leq x \leq 5

\frac{\partial}{\partial y} (\frac{x y}{cos ( x )})

s^{2} + 4 s + 13

\frac{\partial}{\partial z} (cos (z) w (z))

What is the derivative of 9(sin(x)+xcos(x)) ?
The derivative of 9(sin(x)+xcos(x)) is 9(2cos(x)-xsin(x))
What is the first derivative of 9(sin(x)+xcos(x)) ?
The first derivative of 9(sin(x)+xcos(x)) is 9(2cos(x)-xsin(x))