Question: let P ( x ) = 7 x ^ 2 + 2 estimate the slope of the tangent line of this function at the point

let P(x)=7x^2+2 estimate the slope of the tangent line of this function at the point x =4.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Question 1 (1 point) Let f and g be the functions defined by f(t) = 5t2 and g(t) = t3 + 8t. Determine f' (t) and g'(t). f' ( t) : g'(t) Let p(t) = 5t2(+3 + 8t) and observe that p(t) = f(t) . g(t)....

Q:

back O 112 What is the average rate of change of the function y = 4x3 - 2 between x = 2 and x = 4? O -112 110 O -110back True or false? O True If f(x) is a differentiable function and g(x) =...

Q:

Use the function f (x) = 10-x -x2, 252 to find the limits. If the limit does not exist write 2x - 5, x> 2 DNE. " a) What is the left-sided limit at x=2? b) What is the right-sided limit at x=2? c)...

Q:

L CALCx-HS-A09 the slope of the graph at x = 0. X -10 9 8 7 6 5 4 9 2 10 0 -3 0 0 O 1 0 3L Use the graph below to find the slope of the function at x = 1. Which line is the secant line? Which is the...

Q:

Please show all the works and details. I have attached my original works which i got only 2 out of 12 and because I am not able to explain well. E 10 5 -5 0 5 10 -5 + N 2 X y = x N y = 4x - 4...

Q:

11. Consider a curve given implicitly by the equation (1 + x)y3 + xy - 85 = 0. A. Calculate " at a general point (x, y). B. Write the equation of the tangent line to the curve at the point (3, 1). C....

Q:

__._ .......... _ 'I ___________ J'"" -__._-._.- You may use your calculator on the following three questions. 11. Consider a curve given implicitly by the equation (1 + x)y3+ x'y 85 = 0. A....

Q:

You may use your calculator on the following three questions. 11. Consider a curve given implicitly by the equation (1 + x)y + xy - 85 = 0. A. Calculate " at a general point (x, y). B. Write the...

Q:

Calculus AB Assignment AP-Style Free-Response Questions AP-Style Free-Response ll'.'luestionsPa.irt 2. graded. Calculator. Submit these questions to your teacher. You may use your calculator on the...

Q:

Use the graph of f to sketch a graph of f'. . . . . . Choose the graph of f'. I y=f(x) O A. 4- O B. 2 Ay X X O- X 2 -2- O C. OD. + Ay Hol 6- X Xf(x) - f(a) a. Use the definition mean = lim x- a - to...

Q:

The following coordination complex [Ni(en) 3 ] 2+ (en= ethylenediamine, H 2 NCH 2 CH 2 NH 2 ) displays the following isomerism a. Optical b. Chelate c. Coordination d. Linkage

Q:

On September 1, Duggan Company purchased 100 common shares of Green Company for $100 each and 200 common shares of White Company for $50 each. On December 31, the common shares of Green were selling...

Q:

8. (x:x is a quadrilateral] A = (x:x is a rhombus} B={x:x is a quadrilateral with four equal angles} Q is a rectangle of sides 12 cm by 10 cm. R is a rhombus such that two of its angles are 30 and...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...