What is the derivative of x^3-21x^2+144x ?

The derivative of x^3-21x^2+144x is 3x^2-42x+144

What is the first derivative of x^3-21x^2+144x ?

The first derivative of x^3-21x^2+144x is 3x^2-42x+144

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\frac{d}{d x} (x^{3} - 21 x^{2} + 144 x)

3 x^{2} - 42 x + 144

Solution steps

\frac{d}{d x} (x^{3} - 21 x^{2} + 144 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (21 x^{2}) + \frac{d}{d x} (144 x)

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

\frac{d}{d x} (21 x^{2}) = 42 x

\frac{d}{d x} (144 x) = 144

= 3 x^{2} - 42 x + 144

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

\int_{0}^{x} sin (\frac{π}{2} t^{2}) d t

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

\int_{0}^{1} x^{2} - x d x

y = \frac{x + 1}{x - 2}

What is the derivative of x^3-21x^2+144x ?
The derivative of x^3-21x^2+144x is 3x^2-42x+144
What is the first derivative of x^3-21x^2+144x ?
The first derivative of x^3-21x^2+144x is 3x^2-42x+144