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LIMITS AND DERIVATIVES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLIMITS AND DERIVATIVES1 Mark
Question
Find the derivative of f(x) = 10x.
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Answer

f′ ( x) = $\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$
$=\lim _{h \rightarrow 0} \frac{10(x+h)-10(x)}{h}$
$=\lim _{h \rightarrow 0} \frac{10 h}{h}=\lim _{h \rightarrow 0}(10)=10$

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