Jasiah Vincent

2022-04-17

How do you find f'(x) using the definition of a derivative for f(x)=10?

coesarfaujs3t

Beginner2022-04-18Added 11 answers

Explanation:

$f}^{\prime}\left(x\right)=\underset{h\to 0}{lim}\frac{f(x+h)-f\left(x\right)}{h$

${f}^{\prime}\left(x\right)=\underset{h\to 0}{lim}\frac{10-10}{h}=\underset{h\to 0}{lim}\frac{0}{h}=\underset{h\to 0}{lim}0=0$

wyjadaczeqa8

Beginner2022-04-19Added 14 answers

The definition of the derivative is

$f}^{\prime}\left(x\right)=\underset{x\to {x}_{0}}{lim}\frac{f\left(x\right)-f\left({x}_{0}\right)}{x-{x}_{0}$

Hence for f(x)=10 we have that

${f}^{\prime}\left(x\right)=\underset{x\to {x}_{0}}{lim}\frac{10-10}{x-{x}_{0}}=0$

Finally f'(x)=0

Hence for f(x)=10 we have that

Finally f'(x)=0

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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