Question

Consider the function and the value of a. f(x) = -5/x-1, a=7 (a) Use mtan =...

Consider the function and the value of a.

f(x) = -5/x-1, a=7


(a) Use mtan = lim h→0 ,

f(a + h) − f(a)

h

to find the slope of the tangent line mtan = f '(a).

mtan =

(b) Find the equation of the tangent line to f at x = a.

(Let x be the independent variable and y be the dependent variable.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
f(x) =x2 -x use f'(x)=lim h->0 f(x+h) - f(x)/h find: 1. f '(x) 2. f '(2)...
f(x) =x2 -x use f'(x)=lim h->0 f(x+h) - f(x)/h find: 1. f '(x) 2. f '(2) 3. Find the equation of a tangent line to the given function at x=2 4. f ' (-3) 5. Find the equation of a tangent line to the given function at x=-3
1). Consider the following function and point. f(x) = x3 + x + 3;    (−2, −7) (a)...
1). Consider the following function and point. f(x) = x3 + x + 3;    (−2, −7) (a) Find an equation of the tangent line to the graph of the function at the given point. y = 2) Consider the following function and point. See Example 10. f(x) = (5x + 1)2;    (0, 1) (a) Find an equation of the tangent line to the graph of the function at the given point. y =
1)Consider the curve y = x + 1/x − 1 . (a) Find y' . (b)...
1)Consider the curve y = x + 1/x − 1 . (a) Find y' . (b) Use your answer to part (a) to find the points on the curve y = x + 1/x − 1 where the tangent line is parallel to the line y = − 1/2 x + 5 2) (a) Consider lim h→0 tan^2 (π/3 + h) − 3/h This limit represents the derivative, f'(a), of some function f at some number a. State such an...
consider the function f(x)=-x2+90x-30 1)determine f'(x) (use lim method) 2)determine the equation of the line tangent...
consider the function f(x)=-x2+90x-30 1)determine f'(x) (use lim method) 2)determine the equation of the line tangent to f(x) at x=1
1)Consider the function f(x)f(x) whose second derivative is f″(x)=9x+8sin(x). If f(0)=4 and f′(0)=2, what is f(5)?...
1)Consider the function f(x)f(x) whose second derivative is f″(x)=9x+8sin(x). If f(0)=4 and f′(0)=2, what is f(5)? 2) Consider the function f(x)=(7/x^3)−(2/x^5). Let F(x) be the antiderivative of f(x) with F(1)=0.   3)Given that the graph of f(x) passes through the point (5,4) and that the slope of its tangent line at (x,f(x)) is 3x+3, what is  f(2)? Then F(2) equals
Suppose the derivative of f exists, and assume that f(1) = 4, and f'(1) = 5....
Suppose the derivative of f exists, and assume that f(1) = 4, and f'(1) = 5. Let g(x) = x^2f(x), and h(x) = f(x)/x-2 a) g' (1) = ?? find the equation of the tangent line to g(x) at x = 1 y = ?? b) h'(1) = ?? Find the equation of the tangent line to h(x) at x = 1 y = ??
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.     a. Find f(x + h).   ____________     b. Find f(x + h) – f(x).   ____________     c. Find [f(x + h) – f(x)] ÷ h.   ____________   d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________     e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer...
Find the equation of the tangent line to the function f(x) = ln(7x) at x=4. (Use...
Find the equation of the tangent line to the function f(x) = ln(7x) at x=4. (Use symbolic notation and fractions where needed. Let y = f(x) and express the equation of the tangent line in terms of y and x.) equation:
Consider a function f(x; y) = 2x2y x4 + y2 . (a) Find lim (x;y)!(1;1) f(x;...
Consider a function f(x; y) = 2x2y x4 + y2 . (a) Find lim (x;y)!(1;1) f(x; y). (b) Find an equation of the level curve to f(x; y) that passes through the point (1; 1). (c) Show that f(x; y) has no limits as (x; y) approaches (0; 0).
1) Consider the function. f(x) = x5 − 5 (a) Find the inverse function of f....
1) Consider the function. f(x) = x5 − 5 (a) Find the inverse function of f. f −1(x) = 2) Consider the function f(x) = (1 + x)3/x. Estimate the limit lim x → 0 (1 + x)3/x by evaluating f at x-values near 0. (Round your answer to five significant figures.) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT