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Derivative of $$$z^{2}$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dz} \left(z^{2}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dz} \left(z^{n}\right) = n z^{n - 1}$$$ with $$$n = 2$$$:
$${\color{red}\left(\frac{d}{dz} \left(z^{2}\right)\right)} = {\color{red}\left(2 z\right)}$$Thus, $$$\frac{d}{dz} \left(z^{2}\right) = 2 z$$$.
Answer
$$$\frac{d}{dz} \left(z^{2}\right) = 2 z$$$A
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