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Popular >

derivative of 6cos(x+6xsin(x))

Solution

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

Solution

6 x cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

= 6 x cos (x)

Popular Examples

limit as x approaches 4 of sqrt(4)+2

x \to 4 lim (4 + 2)

integral from-1 to 3 of 1

\int_{- 1}^{3} 1 d x

derivative of-9(3x^4-x^3+2x^5)

\frac{d}{d x} (- 9 (3 x^{4} - x^{3} + 2 x)^{5})

normal of 5x^2+2xy-3y^2+3=0,(2,1)normal of

5 x^{2} + 2 x y - 3 y^{2} + 3 = 0, (2, 1)

integral of (4x)/(x^2+4)

\int \frac{4 x}{x ^{2} + 4} d x

Frequently Asked Questions (FAQ)

What is the derivative of 6cos(x+6xsin(x)) ?
The derivative of 6cos(x+6xsin(x)) is 6xcos(x)
What is the first derivative of 6cos(x+6xsin(x)) ?
The first derivative of 6cos(x+6xsin(x)) is 6xcos(x)