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Popular >

derivative of 4x^3+x+5sin(x)

Solution

\frac{d}{d x} (4 x^{3} + x + 5 sin (x))

Solution

12 x^{2} + 1 + 5 cos (x)

Solution steps

\frac{d}{d x} (4 x^{3} + x + 5 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d x}{d x} + \frac{d}{d x} (5 sin (x))

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d x}{d x} = 1

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

= 12 x^{2} + 1 + 5 cos (x)

Popular Examples

integral of 2+3x^2-8x^3

\int 2 + 3 x^{2} - 8 x^{3} d x

tangent of f(x)=-4-3x^2,(2,-16)tangent of

f (x) = - 4 - 3 x^{2}, (2, - 16)

integral from-45 to 0 of 1/(sqrt(4-x))

\int_{- 45}^{0} \frac{1}{4 - x} d x

sum from n=1 to infinity of 8^{-n}

n = 1 \sum \infty 8^{- n}

(\partial)/(\partial x)(1+e^{-xy}cos(y))

\frac{\partial}{\partial x} (1 + e^{- x y} cos (y))

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3+x+5sin(x) ?
The derivative of 4x^3+x+5sin(x) is 12x^2+1+5cos(x)
What is the first derivative of 4x^3+x+5sin(x) ?
The first derivative of 4x^3+x+5sin(x) is 12x^2+1+5cos(x)