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$f(x) = x^2$ . What is $f'(x)$ equal to ?

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Solve equations using cube roots

Full solution

Q.

f(x) = x^2

. What is

f'(x)

equal to ?

Identify function: Identify the function to differentiate. $f(x) = x^2$ is a polynomial function where the exponent of $x$ is $2$ .
Apply power rule: Apply the power rule for differentiation. The power rule states that the derivative of $x^n$ with respect to $x$ is $n*x^{(n-1)}$ .
Calculate derivative: Calculate the derivative using the power rule. $f'(x) = 2\cdot x^{2-1} = 2\cdot x^1 = 2x$

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