SELECT PAGE NO.

No Books/Pages Are Available

SELECT PROBLEM NO. FOR THE PAGE
1

Step-by-step Answer
PAGE: 125SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

(a) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

The tangent line passes through the points  and .

Slope of the tangent line at  is .

(b) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

Since the tangent line is horizontal, .

Slope of the tangent line at  is .

(c) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

The tangent line passes through the points  and .

Slope of the tangent line at  is .

(d) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

The tangent line passes through the points  and .

Slope of the tangent line at  is .

(e) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

The tangent line passes through the points  and .

Slope of the tangent line at  is .

(f) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

Since the tangent line is horizontal, .

Slope of the tangent line at  is .

(g) .

Approximate a tangent line to the given curve at the point .

Slope of the tangent line is the derivative of the function.

Draw the tangent line at .

Observe the graph.

The tangent line passes through the points  and .

Slope of the tangent line at  is .

Make table for the slopes of these lines for given values of x :

Graph :  

1) Draw the co-ordinate plane.

2) Plot the points obtained in the above table.

3) Connect the points with a smooth curve.

Graph of differential function is :

(a) 

(b) 

(c) 

(d) 

(e) 

(f) 

(g) 

Graph of differential function is :

.



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only