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

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

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

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

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derivative of

f (x) = 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 sin (2 - 3 x) d x

\int \frac{x ^{2} - 24}{x ( x + 2 ) ^{3}} d x

\frac{d ^{2}}{d x ^{2}} (sec^{2} (x))

\frac{d}{d x} ((tan (x))^{t a n (x)})

- sec^{2} (7 x)

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