What is the first derivative of (z(z)) ?

The first derivative of (z(z)) is 2x

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derivative of (z(z))

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

2 x

Solution steps

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

Simplify

(x) (x) : x^{2}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 x^{2 - 1}

Simplify

= 2 x

(2 p + q)^{2} - 10 (2 p + q) + 25

[2.7]

\frac{d}{d t} ((x) (x^{2}))

2 π (1 0^{11})

1^{6} - 27