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f(X)=X2f(X) = X^2 f(X)=?f(X) = ?

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Find derivatives using the chain rule IIright chevron icon

Full solution

Q. f(X)=X2f(X) = X^2 f(X)=?f(X) = ?
  1. Differentiate function f(X)f(X): Differentiate the function f(X)=X2f(X) = X^2 with respect to XX using the power rule.\newlineThe power rule states that if f(X)=Xnf(X) = X^n, then the derivative f′(X)=n⋅X(n−1)f'(X) = n \cdot X^{(n-1)}.
  2. Apply power rule: Apply the power rule to f(X)=X2f(X) = X^2.f′(X)=2⋅X(2−1)=2⋅Xf'(X) = 2\cdot X^{(2-1)} = 2\cdot X.
  3. Simplify final derivative: Simplify the expression to get the final derivative. f′(X)=2⋅Xf'(X) = 2 \cdot X.

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