Math  /  Calculus

Questionf(x)=2x2+1f(x)=2 x^{2}+1, given that f(x)=limh0f(x+h)f(x)hf^{\prime}(x)=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} then f(x)=f^{\prime}(x)=

Studdy Solution
Evaluate the limit as h0 h \to 0 :
=4x+2(0) = 4x + 2(0) =4x = 4x
The derivative f(x) f'(x) is:
4x \boxed{4x}

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