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Popular >

derivative of (4x^3/3+cos(x)+1)

Solution

\frac{d}{d x} (\frac{4 x ^{3}}{3} + cos (x) + 1)

Solution

4 x^{2} - sin (x)

Solution steps

\frac{d}{d x} (\frac{4 x ^{3}}{3} + cos (x) + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4 x ^{3}}{3}) + \frac{d}{d x} (cos (x)) + \frac{d}{d x} (1)

\frac{d}{d x} (\frac{4 x ^{3}}{3}) = 4 x^{2}

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

\frac{d}{d x} (1) = 0

= 4 x^{2} - sin (x) + 0

Simplify

= 4 x^{2} - sin (x)

Popular Examples

derivative of sin(nx)

\frac{d}{d x} (sin (n x))

(\partial)/(\partial y)(ln(yz))

\frac{\partial}{\partial y} (ln (yz))

integral of 1/(x-y)

\int \frac{1}{x - y} d x

integral from-1 to 1 of (13-12u)^{-1}

\int_{- 1}^{1} (13 - 12 u)^{- 1} d u

limit as x approaches-3 of 4

x \to - 3 lim (4)

Frequently Asked Questions (FAQ)

What is the derivative of (4x^3/3+cos(x)+1) ?
The derivative of (4x^3/3+cos(x)+1) is 4x^2-sin(x)
What is the first derivative of (4x^3/3+cos(x)+1) ?
The first derivative of (4x^3/3+cos(x)+1) is 4x^2-sin(x)