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Popular >

derivative of 3x^5-4x^4+9x-6

Solution

\frac{d}{d x} (3 x^{5} - 4 x^{4} + 9 x - 6)

Solution

15 x^{4} - 16 x^{3} + 9

Solution steps

\frac{d}{d x} (3 x^{5} - 4 x^{4} + 9 x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (4 x^{4}) + \frac{d}{d x} (9 x) - \frac{d}{d x} (6)

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (6) = 0

= 15 x^{4} - 16 x^{3} + 9 - 0

Simplify

= 15 x^{4} - 16 x^{3} + 9

Graph

Popular Examples

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\int \frac{sin ( x )}{2} d x

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\frac{d}{d x} (sin (y) - y sin (x))

integral of sec^5(2x)tan(2x)

\int sec^{5} (2 x) tan (2 x) d x

limit as x approaches 1+of 6/(x-1)

x \to 1 + lim (\frac{6}{x - 1})

integral of 1/9 e^{3x}

\int \frac{1}{9} e^{3 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 3x^5-4x^4+9x-6 ?
The derivative of 3x^5-4x^4+9x-6 is 15x^4-16x^3+9
What is the first derivative of 3x^5-4x^4+9x-6 ?
The first derivative of 3x^5-4x^4+9x-6 is 15x^4-16x^3+9