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Choose the correct alternative: If f(x) = x2 – 3x, then the points at which f(x) = f’(x) are - Mathematics

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • both positive integers

  • both negative integers

  • both irrational

  • one rational and another irrational

MCQ

उत्तर

both irrational

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 १७७]

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 4 | पृष्ठ १७७

संबंधित प्रश्‍न

Find the derivatives of the following functions using first principle.

f(x) = 6


Find the derivatives of the following functions using first principle.

f(x) = – 4x + 7


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) = |x| + |x – 1| at x = 0, 1


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


The graph of f is shown below. State with reasons that x values (the numbers), at which f is not differentiable.


Examine the differentiability of functions in R by drawing the diagram

|cos x|


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It is given that f'(a) exists, then `lim_(x -> "a") (xf("a") - "a"f(x))/(x - "a")` is


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


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