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Popular >

derivative of y=x^3-8x^2+21x+2

Solution

derivative of

y = x^{3} - 8 x^{2} + 21 x + 2

Solution

3 x^{2} - 16 x + 21

Solution steps

\frac{d}{d x} (x^{3} - 8 x^{2} + 21 x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (21 x) + \frac{d}{d x} (2)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (21 x) = 21

\frac{d}{d x} (2) = 0

= 3 x^{2} - 16 x + 21 + 0

Simplify

= 3 x^{2} - 16 x + 21

Popular Examples

derivative of y=(90)/(x^5)derivative of

y = \frac{90}{x ^{5}}

2y^'-y=4asin(3t)

2 y^{^{'}} - y = 4 a sin (3 t)

derivative of G(s)=(8s^2)/(7e^s+s)derivative of

G (s) = \frac{8 s ^{2}}{7 e ^{s} + s}

derivative of ((x^3-6x)^9)/9 derivative of

\frac{( x ^{3} - 6 x ) ^{9}}{9}

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

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

Frequently Asked Questions (FAQ)

What is the derivative of y=x^3-8x^2+21x+2 ?
The derivative of y=x^3-8x^2+21x+2 is 3x^2-16x+21
What is the first derivative of y=x^3-8x^2+21x+2 ?
The first derivative of y=x^3-8x^2+21x+2 is 3x^2-16x+21