Question: Find the value of a that makes the following function differentiable for all x-values. g(x) = (ax, x 3x, - if x < 0 if

Find the value of a that makes the following function differentiable for all x-values.g(x) = (ax, x 3x, - if x < 0 if x

g(x) = (ax, x 3x, - if x < 0 if x 0

Step by Step Solution

★★★★★

3.58 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

For a function to be differentiable at a point it must be continuous at that point Therefore we firs... View full answer

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 Precalculus Questions!

Q:

The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable...

Q:

Refer to Exercise 5.5. Find the value of a that makes each of the following probability statements true: a. P(x a) = .5 b. P(x a) = .2 c. P(x a) = 0 d. P(2.5 x a) = .5

Q:

Find the value of the constant (a, b, or c) that makes the function continuous. 57. 59. f(x)=|x--c for x

Q:

Find the value of a that makes the following function differentiable for all values of x ax if x Find the value of a that makes the following function differentiable for all values of x ax g(x) = if...

Q:

Find the value of a that makes the following function differentiable for all values of x. ax if x

Q:

Please help Find the value of a that makes the following function differentiable for all values of x. ax if x

Q:

Find the value of a that makes the following function differentiable for all values of x. ax if x

Q:

Find the value of a that makes the following function differentiable for all values of x. ax if x

Q:

Find the derivative of the function. 7x - 6 y= 3x + 1f( z) - f(x) Use the formula f' (x) = lim to find the derivative of the following function. Z- X Z-X 2 f(x) = x+9Find the value of a that makes...

Q:

Find the value of a that makes the following function differentiable for all values of x. g(x) = { ax if x (or equal to) 0 The function g(x) is differentiable for all values of x...

Q:

A borrower will pay you $400 of interest per year continuously from today, and also pay back the principal of $9,000 twenty years from now. Calculate the present value of the borrower's debt when the...

Q:

Why are advertisers so concerned with measuring emotions and involvement?

Q:

What is the future value ( FV ) of $ 5 0 comma 0 0 0 $ 5 0 , 0 0 0 in twentytwenty years , assuming the interest rate is 5 5 % per year? Question content area bottom Part 1 A . $ 1 3 2 comma 6 6 4 ....

Q:

Which approach to understanding leadership in intercultural setting do you believe would work best: trying to identify common attributes that would be valued in any culture or trying to discover the...

Q:

In problem, solve each equation. log b 16 = 2

Q:

(a) Graph the quadratic function f(x) = -x 2 + 2x - 3 by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercept(s), if any. (b) Solve...

Q:

In problem, solve each equation. log 5 x = 4

Q:

10. 11. 6 7 A C A finn will ally increase the ris of shorter den g des has lower at that long um opty The te sture is inverted and expected shift d A) Short-te The terminare is upward sloping and...

Q:

I find these questions challenging to format (like what it is supposed to look like). Parsons BA 211 Chapter 9 i Saved 2 Required information [The following information applies to the questions...

Q:

QUESTION 4 (20 marks) Finay Sdn Bhd manufactures two types of fertilizers, L1 and L2 and absorbs overhead on the basis of direct labour hours. Anticipated overhead for the upcoming accounting period...