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Q&A HomeClass 12CBSEMathematicsInverse Trigonometry Continuity and Differentiability
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Chapter 7

Inverse Trigonometry Continuity and Differentiability

Mathematics•Class 12•CBSE

55 Questions Available

Showing 15 questions on this page

41

Differentiate the functions:

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42

Find all the points of discontinuity of the function f(x) = [x²] on [1, 2), where [.] denotes the greatest integer function.

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43

If

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44

Find the relationship between a and b so that the function  f defined by

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45

Differentiate

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46

If siny = x sin (a + y), prove that

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47

Prove that:

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48

Find dy/dx:

(a) xy = e(x-y)

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49

If If y = eacos–1x, -1 ≤ x ≤ 1, show that

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50

Verify Rolle’s Theorem for the function f, given by f(x) = ex (sinx – cos x) on 

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51

If

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52

If y = 3 cos(logx) + 4 sin (logx), show that x²y2 + xy1 + y = 0

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53

Differentiate

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54

Differentiate the functions:

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55

If xy = ex-y, show that

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