What is the derivative of-6x(sin(x)+cos(x)) ?

The derivative of-6x(sin(x)+cos(x)) is -6(sin(x)+cos(x)+x(cos(x)-sin(x)))

What is the first derivative of-6x(sin(x)+cos(x)) ?

The first derivative of-6x(sin(x)+cos(x)) is -6(sin(x)+cos(x)+x(cos(x)-sin(x)))

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derivative of

- 6 x (sin (x) + cos (x))

- 6 (sin (x) + cos (x) + x (cos (x) - sin (x)))

Solution steps

\frac{d}{d x} (- 6 x (sin (x) + cos (x)))

Take the constant out:

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

= - 6 \frac{d}{d x} (x (sin (x) + cos (x)))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (x) + cos (x)

= - 6 (\frac{d x}{d x} (sin (x) + cos (x)) + \frac{d}{d x} (sin (x) + cos (x)) x)

\frac{d x}{d x} = 1

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

= - 6 (1 \cdot (sin (x) + cos (x)) + (cos (x) - sin (x)) x)

Simplify

= - 6 (sin (x) + cos (x) + x (cos (x) - sin (x)))

sin (2 x) d x + cos (8 y) d y = 0, y (π^{2}) = π^{8}

\int 3 sec (2 x) d x

f (4) = - 7 x^{2} + 2 x

\frac{d}{d x} (arctan (\frac{3 x - 8}{x ^{3}}))

x \to \infty lim (x^{6})

What is the derivative of-6x(sin(x)+cos(x)) ?
The derivative of-6x(sin(x)+cos(x)) is -6(sin(x)+cos(x)+x(cos(x)-sin(x)))
What is the first derivative of-6x(sin(x)+cos(x)) ?
The first derivative of-6x(sin(x)+cos(x)) is -6(sin(x)+cos(x)+x(cos(x)-sin(x)))