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Popular >

derivative of y=9x^3-x^2+5x-6

Solution

derivative of

y = 9 x^{3} - x^{2} + 5 x - 6

Solution

27 x^{2} - 2 x + 5

Solution steps

\frac{d}{d x} (9 x^{3} - x^{2} + 5 x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{3}) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (5 x) - \frac{d}{d x} (6)

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

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

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

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

= 27 x^{2} - 2 x + 5 - 0

Simplify

= 27 x^{2} - 2 x + 5

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\int e^{0.02 x} d x

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\frac{d}{d x} (4 x ln (x))

derivative of-cos(xln(sec(x)+tan(x)))

\frac{d}{d x} (- cos (x) ln (sec (x) + tan (x)))

area x^3-6x^2+9x+1,x=0.5,x=4 area

x^{3} - 6 x^{2} + 9 x + 1, x = 0.5, x = 4

tangent of f(x)=x^2+x,\at x=-4 tangent of

f (x) = x^{2} + x, at x = - 4

Frequently Asked Questions (FAQ)

What is the derivative of y=9x^3-x^2+5x-6 ?
The derivative of y=9x^3-x^2+5x-6 is 27x^2-2x+5
What is the first derivative of y=9x^3-x^2+5x-6 ?
The first derivative of y=9x^3-x^2+5x-6 is 27x^2-2x+5