How do I calculate the differential quotient of functions 1a and 1b?

I really don't understand how to calculate the differential quotient for exercises 1a and 1b. I don't even know where to start. I have no idea if the formula…

lim h→∞ f(x+h)-f(x)/h

…is actually the right one for it.

Can anyone help me?

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Florabest
9 months ago

Yes, due formula is right.

If what’s under the task of you, you’ve done a lot of things very well. a) is finished because due function is a straight line.

At b), you must now not form the lime for h to zero, just as xey is in the formula. Then you have 2×0 +h and h goes against zero. Thus your gradient at x0 is equal to 2×0.

Florabest
9 months ago
Reply to  mxwc8

NO!!!! Specifically: h goes against zero. In mathematics, nix falls away.

You can sometimes shorten or subtract something or as here, something goes against zero.

In none of the cases, it falls away.