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Popular >

derivative of x^3-4x^2+45x+10

Solution

\frac{d}{d x} (x^{3} - 4 x^{2} + 45 x + 10)

Solution

3 x^{2} - 8 x + 45

Solution steps

\frac{d}{d x} (x^{3} - 4 x^{2} + 45 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (45 x) + \frac{d}{d x} (10)

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

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (45 x) = 45

\frac{d}{d x} (10) = 0

= 3 x^{2} - 8 x + 45 + 0

Simplify

= 3 x^{2} - 8 x + 45

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\int_{0}^{5} x e^{- 2 x} d x

y^{^{'}} = e^{4 x} - 6 x

limit as x approaches 0 of (-6)/(e^3-x)

x \to 0 lim (\frac{- 6}{e ^{3} - x})

inverse oflaplace (8s^2+12s+7)/(s^2+s)inverse laplace

\frac{8 s ^{2} + 12 s + 7}{s ^{2} + s}

derivative of ln((2x+5^3))

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

Frequently Asked Questions (FAQ)

What is the derivative of x^3-4x^2+45x+10 ?
The derivative of x^3-4x^2+45x+10 is 3x^2-8x+45
What is the first derivative of x^3-4x^2+45x+10 ?
The first derivative of x^3-4x^2+45x+10 is 3x^2-8x+45