What is the derivative of 7/4 x^2-3x+12 ?

The derivative of 7/4 x^2-3x+12 is (7x)/2-3

What is the first derivative of 7/4 x^2-3x+12 ?

The first derivative of 7/4 x^2-3x+12 is (7x)/2-3

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derivative of

\frac{7}{4} x^{2} - 3 x + 12

\frac{7 x}{2} - 3

Solution steps

\frac{d}{d x} (\frac{7}{4} x^{2} - 3 x + 12)

Simplify

\frac{7}{4} x^{2} - 3 x + 12 : \frac{7 x ^{2}}{4} - 3 x + 12

= \frac{d}{d x} (\frac{7 x ^{2}}{4} - 3 x + 12)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{7 x ^{2}}{4}) - \frac{d}{d x} (3 x) + \frac{d}{d x} (12)

\frac{d}{d x} (\frac{7 x ^{2}}{4}) = \frac{7 x}{2}

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

\frac{d}{d x} (12) = 0

= \frac{7 x}{2} - 3 + 0

Simplify

= \frac{7 x}{2} - 3

4 + 7 x

sin (θ)

\int sin (2 x) sin (3 x) d x

\int \frac{7}{x + 1} d x

\int 2 (sec (x))^{2} d x

What is the derivative of 7/4 x^2-3x+12 ?
The derivative of 7/4 x^2-3x+12 is (7x)/2-3
What is the first derivative of 7/4 x^2-3x+12 ?
The first derivative of 7/4 x^2-3x+12 is (7x)/2-3