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Popular >

derivative of ax^4+bx^3+cx^2

Solution

\frac{d}{d x} (a x^{4} + b x^{3} + c x^{2})

Solution

4 a x^{3} + 3 b x^{2} + 2 c x

Solution steps

\frac{d}{d x} (a x^{4} + b x^{3} + c x^{2})

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (c x^{2}) = 2 c x

= 4 a x^{3} + 3 b x^{2} + 2 c x

Popular Examples

derivative of (3x-1)^7(2x+1)^5 derivative of

(3 x - 1)^{7} (2 x + 1)^{5}

\frac{d}{d y} (e^{2 y})

derivative of f(x)=x^6(x-1)^5 derivative of

f (x) = x^{6} (x - 1)^{5}

integral of (x^4-1/2 x^3+1/4 x-2)

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

sum from n=1 to infinity of ((4pi)/5)^n

n = 1 \sum \infty (\frac{4 π}{5})^{n}

Frequently Asked Questions (FAQ)

What is the derivative of ax^4+bx^3+cx^2 ?
The derivative of ax^4+bx^3+cx^2 is 4ax^3+3bx^2+2cx
What is the first derivative of ax^4+bx^3+cx^2 ?
The first derivative of ax^4+bx^3+cx^2 is 4ax^3+3bx^2+2cx