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Find the derivative of \( f(x)=5 x^{2} \), \( f^{\prime}(x)=\square \)

Ask by Johnston Medina. in the United States
Mar 12,2025

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\( f'(x) = 10x \).

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To find the derivative of \( f(x) = 5x^2 \), we apply the power rule of derivatives. According to this rule, if \( f(x) = ax^n \), then \( f'(x) = nax^{n-1} \). Here, \( a = 5 \) and \( n = 2 \). Therefore, \( f'(x) = 2 \cdot 5x^{2-1} = 10x \). So, \( f^{\prime}(x) = 10x \).

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