Home
Class 12
MATHS
If f(x) = {{:(2x^(2) + 3x +4, x lt 1),(k...

If `f(x) = {{:(2x^(2) + 3x +4, x lt 1),(kx+9-k, x ge 1):}` is differentiable at x=1, then k is equal to

A

6

B

7

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF COMPOSITE FUNCTIONS|22 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF INVERSE FUNCTIONS|27 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:(,ax^(2)-b,|x|lt 1),(,(1)/(|x|),|x| ge1):} is differentiable at x=1, then

If f(x) = {(x^2+k,,,x ge 0),(-x^2-k,,,x lt 0):} is continuous at x = 0, then k is equal to

If f(x) {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1//2 ):} is continuous at x=1/2 , then a = ……

Let f(x)={{:(x^(3)-1",", x lt2),(x^(2)+3"," , x ge 2):} Then

If the function f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} is continuous at x=1 then k=

If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is continuous at x = 0 , then k = ….

If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

Let f (x = {{: ((x^(2) - 4x + 3)/(x^(2) + 2x - 3), x ne 1),(k, x = 1):} If f (x) is continuous at x= 1, then the value of k will be