## Derivative Calculator

The derivative of a function of a real variable like 3x^{3} + 2x measures the sensitivity to change of a quantity.

### Derivative Formula:

f'(x) = lim_{Δx→0} = (f(x+Δx)–f(x))/Δx

For example,f'(x) = 3x + 10, f'(x) = lim_{Δx→0} (f(x+Δx)–f(x))/Δx

=> f'(x) = lim_{Δx→0} [3(x+Δx)+10–(3x+10)]/Δx

=> f'(x) = lim_{Δx→0} [3x+3Δx+10–3x−10)]/Δx

=> f'(x) = lim_{Δx→0} [3Δx]/Δx

=> f'(x) = lim_{Δx→0} 3

=> f'(x) = 7.

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