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

The derivative of 3(x^3+cos(x)) is 9x^2-sin(x)

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

The first derivative of 3(x^3+cos(x)) is 9x^2-sin(x)

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

9 x^{2} - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

= 9 x^{2} - sin (x)

x \to 0 lim (x^{2} csc^{2} (x))

\frac{d}{d x} (tan (x) - x + 1)

\frac{d}{d x} (1 + x^{256} - 1)

y^{^{''}} - 6 y^{^{'}} = 9 t

f (x) = 19 x e^{x}

What is the derivative of 3(x^3+cos(x)) ?
The derivative of 3(x^3+cos(x)) is 9x^2-sin(x)
What is the first derivative of 3(x^3+cos(x)) ?
The first derivative of 3(x^3+cos(x)) is 9x^2-sin(x)