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Popular >

derivative of 4x^3-3sqrt(1+2x)

Solution

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

Solution

12 x^{2} - \frac{3}{1 + 2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 1 + 2 x) = \frac{3}{1 + 2 x}

= 12 x^{2} - \frac{3}{1 + 2 x}

Popular Examples

implicit (dy)/(dx),y=x^2 implicit derivative

\frac{d y}{d x}, y = x^{2}

f (t) = e^{2 t}

integral of t^3*sqrt(9t^4+1)

\int t^{3} \cdot 9 t^{4} + 1 d t

integral from 1 to t of 9/(x^3)

\int_{1}^{t} \frac{9}{x ^{3}} d x

derivative of (5x/((x^2+1)^{3/5)})

\frac{d}{d x} (\frac{5 x}{( x ^{2} + 1 ) ^{\frac{3}{5}}})

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-3sqrt(1+2x) ?
The derivative of 4x^3-3sqrt(1+2x) is 12x^2-3/(sqrt(1+2x))
What is the first derivative of 4x^3-3sqrt(1+2x) ?
The first derivative of 4x^3-3sqrt(1+2x) is 12x^2-3/(sqrt(1+2x))