menu
bartleby
search
close search
Hit Return to see all results

Find the equation of the line tangent to the curvexy^3+xy=6at the point (3,1).When the equation of this tangent line is written in the form y=mx+b.

Question

Find the equation of the line tangent to the curve

xy^3+xy=6
at the point (3,1).
When the equation of this tangent line is written in the form y=mx+b.
check_circleAnswer
Step 1

Firstly, we will find derivative 

And then we can solve for y'

and we get

 

fullscreen
Step 2

Now, we can plug x=3 and y=1 to get slope (m)

 

fullscreen
Step 3

Now, we can use point slope form of line 

and then we ca...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

question_answer

Q: Find the function F that satisfies the following differential equations and initial conditions F'''(...

A: We are given second derivative as 

question_answer

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them. 

question_answer

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the p...

A: Applied product rule and found f'(x).

question_answer

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is 

question_answer

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function x2 In(1 x...

A: We know the Maclaurin series for ln(1+x). From there we find Maclaurin series for ln(1+x^3) by repla...

question_answer

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]

A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...

question_answer

Q: Which of the following is the power series representation for g(x)? +8 OA. B. k 8 1 k 0 k 0 8k O C. ...

A: Note that the function g(x) is not provided (here option (c) can also be a power series). So, we are...

question_answer

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

Sorry about that. What wasn’t helpful?