# Find an equation of the tangent line to the curve at the given point ? y= (sqrt x) , (49,7)

First we can find the slope of your tangent calculating the derivative of your function and substituting the value ##x=49## in it:
1) ##f(x)=sqrt(x)##
##f'(x)=1/(2sqrt(x))##
2) for ##x=49## you get:
##f'(49)=1/(2sqrt(49))=1/14##
3) the equation of the tangent with slope ##m=1/14## and passing through (##x_0=49, y_0=7##) can be written as:
##y-y_0=m(x-x_0)##
##y-7=1/14(x-49)##
##y=x/14+7/2##

Don't use plagiarized sources. Get Your Custom Essay on
Find an equation of the tangent line to the curve at the given point ? y= (sqrt x) , (49,7)
Just from \$13/Page

Graphically:

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.