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differentiation by first principle fp1

Completely forgot where and how to start this. if someone could help me out with a method and explanations i would really appreciate it :smile:
differentiation first principle.png23.7KB
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Avatar for Zacken
Zacken
22
Original post by Mitul106
Completely forgot where and how to start this. if someone could help me out with a method and explanations i would really appreciate it :smile:


What happens when you sub in x=−5+hx=-5 + h into your equation? What y coordinate does that get you? You now have two points, can you find the gradient in terms of h? hint: change in y over change in x.
Reply 2
Avatar for Notnek
Notnek
21
Original post by Mitul106
Completely forgot where and how to start this. if someone could help me out with a method and explanations i would really appreciate it :smile:

It's probably best if you read this in a book / watch a video.

I recommend this video.
Reply 3
Avatar for Naruke
Naruke
11
Original post by Mitul106
Completely forgot where and how to start this. if someone could help me out with a method and explanations i would really appreciate it :smile:


Sketch Sketch

and remember dydx=lim⁡h→0f(x+h)−f(x)x+h−x \frac{dy}{dx} = \displaystyle\lim_{h\to 0} \frac{f(x+h)-f(x)}{x+h-x}

also remember the gradient or the change in y over the change in x = f(x+h)−f(x)x+h−x \frac{f(x+h)-f(x)}{x+h-x}
Reply 4
Avatar for B_9710
B_9710
18
When you're doing these questions, the question will pretty much always ask you to give the gradient of the chord in terms of h, then they will ask you for the gradient as h→0 h\rightarrow 0 which of course is the gradient of the curve at that point.

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