1.   Find the derivative of x ^ 2 -2 \: \: at \: \: x = 10

Answers (1)

F(x)=x ^ 2 -2 \: \:

Now, As we know, The derivative of any function at x is 

f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

The derivative of f(x) at x = 10:

f'(10)=\lim_{h\rightarrow 0}\frac{f(10+h)-f(10)}{h}

f'(10)=\lim_{h\rightarrow 0}\frac{(10+h)^2-2-((10)^2-2)}{h}

f'(10)=\lim_{h\rightarrow 0}\frac{100+20h+h^2-2-100 +2}{h}

f'(10)=\lim_{h\rightarrow 0}\frac{20h+h^2}{h}

f'(10)=\lim_{h\rightarrow 0}20+h

f'(10)=20+0

f'(10)=20

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