What is the first derivative of-72x ?

The first derivative of-72x is -72

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derivative of-72x

derivative of

- 72 x

- 72

Solution steps

\frac{d}{d x} (- 72 x)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 72 \frac{d x}{d x}

Apply the common derivative:

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

= - 72 \cdot 1

Simplify

= - 72

\int \frac{y ^{2}}{1 - y} d y

f (x) = 3 x - 2 x^{- \frac{1}{2}} + 1, at x = 1

10 y^{^{''}} + 1000 y = 20 cos (8 t), y (0) = 0, y^{^{'}} (0) = 0

y = 3 x - 2

y^{^{''}} + 6 y^{^{'}} + 34 y = 0