What is the derivative of y=a^3+cos^3(x) ?

The derivative of y=a^3+cos^3(x) is -3cos^2(x)sin(x)

What is the first derivative of y=a^3+cos^3(x) ?

The first derivative of y=a^3+cos^3(x) is -3cos^2(x)sin(x)

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derivative of

y = a^{3} + cos^{3} (x)

- 3 cos^{2} (x) sin (x)

Solution steps

\frac{d}{d x} (a^{3} + cos^{3} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{3}) + \frac{d}{d x} (cos^{3} (x))

\frac{d}{d x} (a^{3}) = 0

\frac{d}{d x} (cos^{3} (x)) = - 3 cos^{2} (x) sin (x)

= 0 - 3 cos^{2} (x) sin (x)

Simplify

= - 3 cos^{2} (x) sin (x)

\int \frac{5}{x ^{2} + 8 x + 41} d x

\int 8 sin^{2} (x) cos^{3} (x) d x

y = e^{p} (p + p p)

y^{^{''}} - y^{^{'}} + 2 y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

\int - \frac{1}{2 x ^{3}} d x

What is the derivative of y=a^3+cos^3(x) ?
The derivative of y=a^3+cos^3(x) is -3cos^2(x)sin(x)
What is the first derivative of y=a^3+cos^3(x) ?
The first derivative of y=a^3+cos^3(x) is -3cos^2(x)sin(x)