What is the derivative of 2/3 x^3+3/2 x^2-90x+5247 ?

The derivative of 2/3 x^3+3/2 x^2-90x+5247 is 2x^2+3x-90

What is the first derivative of 2/3 x^3+3/2 x^2-90x+5247 ?

The first derivative of 2/3 x^3+3/2 x^2-90x+5247 is 2x^2+3x-90

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\frac{d}{d x} (\frac{2}{3} x^{3} + \frac{3}{2} x^{2} - 90 x + 5247)

2 x^{2} + 3 x - 90

Solution steps

\frac{d}{d x} (\frac{2}{3} x^{3} + \frac{3}{2} x^{2} - 90 x + 5247)

Simplify

\frac{2}{3} x^{3} + \frac{3}{2} x^{2} - 90 x + 5247 : \frac{2 x ^{3}}{3} + \frac{3 x ^{2}}{2} - 90 x + 5247

= \frac{d}{d x} (\frac{2 x ^{3}}{3} + \frac{3 x ^{2}}{2} - 90 x + 5247)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2 x ^{3}}{3}) + \frac{d}{d x} (\frac{3 x ^{2}}{2}) - \frac{d}{d x} (90 x) + \frac{d}{d x} (5247)

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

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

\frac{d}{d x} (90 x) = 90

\frac{d}{d x} (5247) = 0

= 2 x^{2} + 3 x - 90 + 0

Simplify

= 2 x^{2} + 3 x - 90

f (x) = tan (sec (cos (x)))

\frac{d}{d x} (x^{2} + 6 x - 1)

x \to 0 lim (\frac{8 ^{x} - 7 ^{x}}{x})

\frac{d}{d x} (tan^{s e c (\frac{1}{x})} (\frac{1}{x}))

f (x) = x^{4} - 6 x^{3}

What is the derivative of 2/3 x^3+3/2 x^2-90x+5247 ?
The derivative of 2/3 x^3+3/2 x^2-90x+5247 is 2x^2+3x-90
What is the first derivative of 2/3 x^3+3/2 x^2-90x+5247 ?
The first derivative of 2/3 x^3+3/2 x^2-90x+5247 is 2x^2+3x-90