What is the derivative of u(x)=3x^2-x+6 ?

The derivative of u(x)=3x^2-x+6 is 6x-1

What is the first derivative of u(x)=3x^2-x+6 ?

The first derivative of u(x)=3x^2-x+6 is 6x-1

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derivative of

u (x) = 3 x^{2} - x + 6

6 x - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d x}{d x} = 1

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

= 6 x - 1 + 0

Simplify

= 6 x - 1

2 cos (2 x), 2 - 2 cos (2 x), [0, \frac{π}{2}]

(6 x + 1)^{2}

\frac{- x ^{2} - 3}{( x ^{2} - 3 ) ^{2}}

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

What is the derivative of u(x)=3x^2-x+6 ?
The derivative of u(x)=3x^2-x+6 is 6x-1
What is the first derivative of u(x)=3x^2-x+6 ?
The first derivative of u(x)=3x^2-x+6 is 6x-1