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Choose the correct alternative: If f(x) = {x+2-1<x<35x=38-xx>3 , then at x = 3, f'(x) is - Mathematics

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प्रश्न

Choose the correct alternative:

If f(x) = `{{:(x + 2, - 1 < x < 3),(5, x = 3),(8 - x, x > 3):}` , then at x = 3, f'(x) is

पर्याय

  • 1

  • – 1

  • 0

  • does not exist

MCQ

उत्तर

– 1

shaalaa.com
Differentiability and Continuity
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 21 | पृष्ठ १७९

संबंधित प्रश्‍न

Find the derivatives of the following functions using first principle.

f(x) = – x2 + 2


Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?

`f(x) = |x - 1|`


Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?

`f(x) = sqrt(1 - x^2)`


Find the derivatives from the left and from the right at x = 1 (if they exist) of the following functions. Are the functions differentiable at x = 1?

`f(x) = {{:(x",", x ≤ 1),(x^2",", x > 1):}`


Determine whether the following function is differentiable at the indicated values.

f(x) = |x2 – 1| at x = 1


Determine whether the following function is differentiable at the indicated values.

f(x) = sin |x| at x = 0


Show that the following functions are not differentiable at the indicated value of x.

`f(x) = {{:(-x + 2, x ≤ 2),(2x - 4, x > 2):}` , x = 2


Show that the following functions are not differentiable at the indicated value of x.

`f(x) = {{:(3x",", x < 0),(-4x",", x ≥ 0):}` , x = 0


Examine the differentiability of functions in R by drawing the diagram

|sin x|


Examine the differentiability of functions in R by drawing the diagram

|cos x|


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If f(x) = x2 – 3x, then the points at which f(x) = f’(x) are


Choose the correct alternative:

If y = mx + c and f(0) = f’(0) = 1, then f(2) is


Choose the correct alternative:

If pv = 81, then `"dp"/"dv"` at v = 9 is


Choose the correct alternative:

If f(x) = `{{:(x + 1,  "when"   x < 2),(2x - 1,  "when"  x ≥ 2):}` , then f'(2) is


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