What is the derivative of u(x-5) ?

The derivative of u(x-5) is x-5

What is the first derivative of u(x-5) ?

The first derivative of u(x-5) is x-5

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derivative of

u (x - 5)

x - 5

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{d u}{d u} = 1

= (x - 5) \cdot 1

Simplify

= x - 5

f (x) = \frac{3}{x}, at x = 4

\frac{d}{d x} (\frac{4 x ^{3}}{9})

\int_{- 4}^{- 2} (x^{2} - 4) d x

5 x^{2} + x

y^{^{'}} = \frac{( x ^{2} + x y + y ^{2} )}{x ^{2}}