Use the alternate develop of the derivative to uncover the derivative at \$x=c\$ if \$f(x)=x^3+4x\$ and \$c=2\$.

You are watching: Use the alternative form of the derivative to find the derivative at x = c

I keep gaining stuck with the answer being \$0\$, no issue how I attempt to fix it. If someone could please use step-by-step instructions to aid me view what I"m doing wrong, that would be great. Thank you!

From resources digital I deserve to just translate the "alternative" create as this:

\$\$f^prime(x) = lim_x o c fracf(x)-f(c)x-c\$\$

So,

\$\$eginalignf^prime(2) &= lim_x o 2 fracx^3 + 4x - (2^3 + 4 cdot 2))x - 2\&= lim_x o 2 fracx^3 + 4x - 16x - 2\&= lim_x o 2 frac(x-2)(x^2 + 2x + 8)x-2\&= lim_x o 2 , (x^2 + 2x + 8)\&= 16endalign\$\$

The important step is cancelling the \$x-2\$ in the denominator, notification we deserve to perform this because \$x-2 eq 0\$ as we are considering the limit. Can you watch which allude you were struggling at?

Share
Cite
Follow
answered Oct 10 "16 at 15:40

danwalkerdevdanwalkerdev
\$endgroup\$
2

Thanks for contributing a solution to nlinux.orgematics Stack Exchange!

But avoid

Asking for aid, clarification, or responding to other answers.Making statements based on opinion; back them up via references or personal endure.

Use nlinux.orgJax to format equations. nlinux.orgJax recommendation.

See more: Elements An Element In The Upper Right Corner Of The Periodic Table

Draft saved

Submit

### Blog post as a guest

Name
Email Required, however never before shown

### Message as a guest

Name
Email

Required, yet never shown

## Not the answer you're looking for? Browse various other inquiries tagged derivatives or ask your very own question.

Featured on Meta
Related
2
Using the alternate formula to uncover the derivative of a function?
1
Need assist using the different formula to find the derivative at \$x = c\$
2
Finding the Derivative of a Derivative
0
Differentiate \$y =sin(1+x^2)^1/2\$
0
Derivative of: \$xlog_2(x)\$
1
Hundredth Derivative From Taylor's polynomial for \$fracx^21+x^4\$
1
From the initially principle find derivative of \$frac3x+5sqrtx\$
0
How to discover the derivative utilizing first principle formula
Hot Network Questions more warm inquiries

Inquiry feed

nlinux.orgematics
Company kind of