What is the derivative of 4e(cos(x)-xsin(x)) ?

The derivative of 4e(cos(x)-xsin(x)) is 4e(-2sin(x)-xcos(x))

What is the first derivative of 4e(cos(x)-xsin(x)) ?

The first derivative of 4e(cos(x)-xsin(x)) is 4e(-2sin(x)-xcos(x))

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derivative of

4 e (cos (x) - x sin (x))

4 e (- 2 sin (x) - x cos (x))

Solution steps

\frac{d}{d x} (4 e (cos (x) - x sin (x)))

Take the constant out:

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

= 4 e \frac{d}{d x} (cos (x) - x sin (x))

Apply the Sum/Difference Rule:

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

= 4 e (\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)

= 4 e (- sin (x) - (sin (x) + x cos (x)))

Simplify

= 4 e (- 2 sin (x) - x cos (x))

x \to 4 lim (\frac{6}{x - 4})

x \to 3 lim (2 x + ∣ x + 3 ∣)

\int \frac{8}{9} x^{\frac{8}{9}} d x

\frac{d}{d y} (\frac{e ^{x}}{y})

\int \frac{3}{x ln ^{2} ( 3 x )} d x

What is the derivative of 4e(cos(x)-xsin(x)) ?
The derivative of 4e(cos(x)-xsin(x)) is 4e(-2sin(x)-xcos(x))
What is the first derivative of 4e(cos(x)-xsin(x)) ?
The first derivative of 4e(cos(x)-xsin(x)) is 4e(-2sin(x)-xcos(x))