Kerala Plus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives
Plus One Maths Limits and Derivatives 3 Marks Important Questions
Question 1.
Find the derivative of y = tan x from first principles. (MARCH-2010)
Answer:
Question 2.
Choose the most appropriate answer from those given in the bracket (IMP-2010)
Answer:
Question 3.
(IMP-2010)
Answer:
Question 4.
Using the first principle of derivatives, find the derivatives of 1x (MARCH-2011)
Answer:
Question 5.
Using the quotient rule find the derivative mof f(x) = cot x (MARCH-2011)
Answer:
Question 6.
Find the derivatives of the following: (MARCH-2011)
Answer:
Question 7.
Prove that (MARCH-2012)
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Question 8.
Find the derivative of y = cotx from first principles. (MARCH-2012)
Answer:
Question 9.
i) The value of limx→0sinxx (MARCH-2013)
ii) Evaluate limx→0sin4x3x
Answer:
i) 1
ii)
Question 10.
i) The value of limx→axn−anx−a (MARCH-2013)
ii) Evaluate \lim _{x \rightarrow 1} \frac{x^{15}-1}{x^{10}-1}
Answer:
Question 11.
Find the derivative of f(x) = sin x from the first principle. (MARCH-2013)
Answer:
Question 12.
Find the derivative of x+cosxtanx (MARCH-2014)
Answer:
Question 13.
Find the derivatives of f(x) = sinx using the first principle. (MARCH-2014)
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Question 14.
Find the derivative of x5−cosxsinx using the quotient rule. (MARCH-2014)
Answer:
Question 15.
Using the first principle, find the derivative of cosx . (IMP-2011)
Answer:
Question 16.
Find the derivative of cosx2x+3 (IMP-2012)
Answer:
Plus One Maths Limits and Derivatives 4 Marks Important Questions
Question 1.
Evaluate (MARCH-2010)
Answer:
Question 2.
(MARCH-2011)
Answer:
Question 3.
Compute the derivative of sec x with respect to x from first principle. (IMP-2010)
Answer:
Question 4.
Find limx→2x4−4x2x2−4 (IMP-2011)
ii) If y = sin 2x .Prove that dydx= = 2cos2x
Answer:
Question 5.
(IMP-2011)
Answer:
Question 6.
Find the derivative of y = cosec x from first principle. (IMP-2012)
Answer:
Question 7.
Find the derivative of y = cosec x from first principle. (IMP-2012)
Answer:
Question 8.
Find the derivative of x+1x−1 from first principle (IMP-2013)
Answer:
Question 9.
i) The value of limx→0sin5x5x (MARCH-2014)
ii) Evaluate limx→0sinaxsinbx,a,b≠0
Answer:
i) 1
ii)
Plus One Maths Limits and Derivatives 6 Marks Important Questions
Question 1.
Find the derivative of 1x from first principle. (IMP-2010)
Find the derivative of
(ax + b)n (ax + c)m
Answer:
Question 2.
i) Find limx→−2x2+5x+6x2+3x+2 (IMP-2011)
ii) Find f ‘(x) given f(x) = x2+5x+6x2+3x+2
Answer:
Question 3.
i) Evaluate limx→3(x3−27x2−9) (MARCH-2012)
ii) Evaluate limx→0tanx−sinxsin3x
Answer:
Question 4.
i) Evaluate limx→0sin5xsin3x (MARCH-2013)
ii) Find the derivate of y = cosx from the first principle.
Answer:
i)
ii)
Question 5.
i) Find the derivative of sinxx+cosx (MARCH-2014)
ii) Match the following:
Answer:
Question 6.
i) ddx(tanx) = ……… (IMP-2014)
ii) Find the derivative of 3 tan x + 5 sec x
iii) Find the derivative of /(x) = (x² + 1)sinx
Answer:
Question 7.
i) Match the following (MARCH-2015)
ii) Find the derivative of tanx using first principle.
Answer:
Question 8.
i) Match the following: (MARCH-2015)
ii)
Answer:
Question 9.
iii) Using first principles, find the derivative of cos x. (IMP-2015)
Answer:
iii)
Question 10.
i) Derivative of x² – 2 at x = 10 is (IMP-2016)
a) 10
b) 20
c) -10
d) -20
Answer:
Question 11.
i) ddx(xnn) = ………… (MARCH-2016)
ii) Differentiate y=sinxx+1 with respect to x
iii) Use first principles, find the derivative of cosx.
Answer:
iii)
Question 12.
i) ddx(−sinx) = ………….. (MARCH-2016)
ii) Finddydx if y=ax4−bx2+cosx where a, b are constants.
iii) Using first principles, find the derivative of sinx.
Answer:
iii)
Question 14.
iii) Using the first principle, find the derivative of cosx (MAY-2017)
Answer:
iii)
Question 15.
(MARCH-2017)
Answer:
i) cos x
ii)
iii)
Question 16.
i) limx→0esinx−1x= …….(MARCH-2017)
a) 0
b) 1
c) 2
d) 3
ii) Find
limx→0√1+x−1x
iii) Find the derivative of f(x) = sin x by using first principal.
Answer:
i) b) 1
ii)
iii)
Plus One Maths Chapter Wise Previous Questions and Answer