Question

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 =

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
1. Let f be the function defined by f(x) = x 2 on the positive real...
1. Let f be the function defined by f(x) = x 2 on the positive real numbers. Find the equation of the line tangent to the graph of f at the point (3, 9). 2. Graph the reflection of the graph of f and the line tangent to the graph of f at the point (3, 9) about the line y = x. I really need help on number 2!!!! It's urgent!
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.)
1.) Find the equation of the tangent line to the graph of the function f(x)=5x-4/2x+2 at...
1.) Find the equation of the tangent line to the graph of the function f(x)=5x-4/2x+2 at the point where x=2 2.) Find the derivative: r(t)=(ln(t^3+1))^2
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
Consider the following. y = 6x^4 − 5x − 1/4 − x^2 A)Find the value of...
Consider the following. y = 6x^4 − 5x − 1/4 − x^2 A)Find the value of y when x = 1. y(1) = B Find dy/dx . dy/dx = C Find the exact value of dy/dx when x = 1. dy/dx = D Write the equation of the tangent line to the graph of y = 6x4 − 5x − 1 4 − x2 at x = 1. Check the reasonableness of your answer by graphing both the function and...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = 4x4 + 7x3 − 3 f '(x) = Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = −x + (8/x) +1 f '(x) = Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 8x3 − 4x2 + x f '(x) = Find...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
Write the equation of the line tangent to f (x) = x^2 − 5x + 7...
Write the equation of the line tangent to f (x) = x^2 − 5x + 7 at the point (3, 1).
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. (Continued) Consider the function (e) (f) f (x) = x3 − 7 x + 5....
1. (Continued) Consider the function (e) (f) f (x) = x3 − 7 x + 5. 2 (0.5 pt) Find the possible inflection points of f(x). Show work. (0.5 pt) Test the possible inflection points of f(x) to determine if each point is or is not an inflection point. Your work must show that you tested each point properly and support your conclusion. Be sure to state your conclusion. Show work. (g) (1 pt) Find the global minimum and global...