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Popular >

derivative of (4x^3/3+2x+cos(x)+1)

Solution

\frac{d}{d x} (\frac{4 x ^{3}}{3} + 2 x + cos (x) + 1)

Solution

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

Solution steps

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

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

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

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

Simplify

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

Graph

Popular Examples

derivative of (sqrt(2-x^2)^2)

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

tangent of y= 2/(x-2),(6, 2/5)tangent of

y = \frac{2}{x - 2}, (6, \frac{2}{5})

(\partial)/(\partial x)((x-y)(1-xy))

\frac{\partial}{\partial x} ((x - y) (1 - x y))

derivative of ax^2+bx^2+c

\frac{d}{d x} (a x^{2} + b x^{2} + c)

integral of ln(x)sin(x)

\int ln (x) sin (x) d x

Frequently Asked Questions (FAQ)

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