You are watching: Alternative form of the derivative
I keep gaining stuck v the answer being $0$, no matter exactly how I try to deal with it. If someone might please usage step-by-step indict to aid me watch what I"m law wrong, that would be great. Thank you!
From sources online I deserve to only analyze the "alternative" kind as this:
$$f^\prime(x) = \lim_x\to c \fracf(x)-f(c)x-c$$
So,
$$\beginalignf^\prime(2) &= \lim_x\to 2 \fracx^3 + 4x - (2^3 + 4 \cdot 2))x - 2\\&= \lim_x\to 2 \fracx^3 + 4x - 16x - 2\\&= \lim_x\to 2 \frac(x-2)(x^2 + 2x + 8)x-2\\&= \lim_x\to 2 \, (x^2 + 2x + 8)\\&= 16\endalign$$
The vital step is cancelling the $x-2$ in the denominator, notification we have the right to do this because $x-2\neq 0$ as we space considering the limit. Have the right to you see which point you to be struggling at?
re-superstructure
mention
monitor
answer Oct 10 "16 in ~ 15:40
danwalkerdevdanwalkerdev
10888 bronze badges
$\endgroup$
2
add a comment |
your Answer
Thanks because that contributing solution to bromheads.tvematics ridge Exchange!
Please be certain to answer the question. Provide details and share her research!But avoid …
Asking for help, clarification, or responding to other answers.Making statements based upon opinion; earlier them up with recommendations or an individual experience.Use bromheads.tvJax to format equations. Bromheads.tvJax reference.
To discover more, check out our tips on writing good answers.
See more: Emphasis On Reason Over Revelation Is Called, Judaism Flashcards
Draft saved
Draft discarded
Sign up or log in
sign up utilizing Google
authorize up utilizing Facebook
sign up utilizing Email and Password
submit
Post together a guest
name
email Required, but never shown
Post as a guest
surname
Required, yet never shown
post Your price Discard
By clicking “Post your Answer”, friend agree to our terms of service, privacy policy and cookie plan
Not the price you're feather for? Browse various other questions tagged derivatives or questioning your own question.
Featured on Meta
associated
2
utilizing the alternative formula to find the derivative of a function?
1
Need assist using the alternative formula to discover the derivative in ~ $x = c$
2
recognize the Derivative that a Derivative
0
distinguish $y =\sin(1+x^2)^1/2$
0
Derivative of: $x\log_2(x)$
1
Hundredth Derivative native Taylor's polynomial for $\fracx^21+x^4$
1
native the very first principle uncover derivative of $\frac3x+5\sqrtx$
0
how to uncover the derivative using an initial principle formula
hot Network questions more hot concerns
concern feed
subscribe to RSS
inquiry feed To subscribe to this RSS feed, copy and also paste this URL into your RSS reader.
bromheads.tvematics
agency
ridge Exchange Network
site design / logo © 2021 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.9.21.40253
bromheads.tvematics stack Exchange works finest with JavaScript allowed
your privacy
By click “Accept every cookies”, friend agree ridge Exchange can store cookie on your device and disclose info in accordance with our Cookie Policy.