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Popular >

derivative of 3x^4+2x^2-6x+3

Solution

\frac{d}{d x} (3 x^{4} + 2 x^{2} - 6 x + 3)

Solution

12 x^{3} + 4 x - 6

Solution steps

\frac{d}{d x} (3 x^{4} + 2 x^{2} - 6 x + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{4}) + \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (3)

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

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (3) = 0

= 12 x^{3} + 4 x - 6 + 0

Simplify

= 12 x^{3} + 4 x - 6

Graph

Popular Examples

derivative of (sqrt(x^2-7)-3)/(x+4)derivative of

\frac{x ^{2} - 7 - 3}{x + 4}

derivative of x+axIn(bx)

\frac{d}{d x} (x + a x I n (b x))

y^{''}+25y=5t^2

y^{^{''}} + 25 y = 5 t^{2}

derivative of 8/(\sqrt[7]{x^9+3)}derivative of

\frac{8}{7 x ^{9} + 3}

limit as x approaches 0+of x^{7x}

x \to 0 + lim (x^{7 x})

Frequently Asked Questions (FAQ)

What is the derivative of 3x^4+2x^2-6x+3 ?
The derivative of 3x^4+2x^2-6x+3 is 12x^3+4x-6
What is the first derivative of 3x^4+2x^2-6x+3 ?
The first derivative of 3x^4+2x^2-6x+3 is 12x^3+4x-6