What is the first derivative of 7-5x ?

The first derivative of 7-5x is -5

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derivative of 7-5x

\frac{d}{d x} (7 - 5 x)

- 5

Solution steps

\frac{d}{d x} (7 - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7) - \frac{d}{d x} (5 x)

\frac{d}{d x} (7) = 0

\frac{d}{d x} (5 x) = 5

= 0 - 5

Simplify

= - 5

y = arcsin (\frac{x}{2}), at x = 1

\frac{d x}{d t} = sin (t) x + e^{- c o s (t)} sin (t)

x \to \infty lim (- (5))

3 y^{^{'}} + x y = 5 x, y (9) = 4

arctan (x) - arctan (x - 7)