What is the derivative of 5x^3-6cos(x) ?

The derivative of 5x^3-6cos(x) is 15x^2+6sin(x)

What is the first derivative of 5x^3-6cos(x) ?

The first derivative of 5x^3-6cos(x) is 15x^2+6sin(x)

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derivative of

5 x^{3} - 6 cos (x)

15 x^{2} + 6 sin (x)

Solution steps

\frac{d}{d x} (5 x^{3} - 6 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (6 cos (x))

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{2} - (- 6 sin (x))

Simplify

= 15 x^{2} + 6 sin (x)

f (x) = \frac{2}{x - 8}, (10, 1)

\int csc^{2} (2 x) d x

\int \frac{8}{x ^{2}} d x

e^{2 x - 3}, 1

x \to 2 lim (5 x^{3} - 6 x - 1)

What is the derivative of 5x^3-6cos(x) ?
The derivative of 5x^3-6cos(x) is 15x^2+6sin(x)
What is the first derivative of 5x^3-6cos(x) ?
The first derivative of 5x^3-6cos(x) is 15x^2+6sin(x)