CBSE 11th Standard Maths Subject Limits and Derivatives Ncert Exemplar 1 Marks Questions With Solution 2021
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CBSE 11th Standard Maths Subject Limits and Derivatives Ncert Exemplar 1 Marks Questions With Solution 2021
11th Standard CBSE
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Reg.No. :
Mathematics
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Find the derivative of 2x4 + x
(a)8x3+1
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Find the derivative of the following functions.
\(\frac { 3x+4 }{ 5x^{ 2 }-7x+9 } \)(a)\(y=\frac { 3x+4 }{ 5{ x }^{ 2 }-7x+9 }\)
\( \frac { dy }{ dx } =\frac { (5{ x }^{ 2 }-7x+9)\frac { d }{ dx } (3x+4)-(3x+4)\frac { d }{ dx } (5{ x }^{ 2 }-7x+9) }{ (5{ x }^{ 2 }-7x+9)^{ 2 } } \)
Ans: \(\frac { 55-15x^{ 2 }-40x }{ (5{ x }^{ 2 }-7x+9)^{ 2 } } \) -
Find the derivative of the following functions.
cosecx cotx(a)-cosec3x-cot2x cosecx
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Find the derivative of the following functions.
(secx-1)(secx+1)(a)(secx-1)(secx+1)=sec2x-1=tan2x
=tan x. tan x
Ans. 2tan x sec2 x -
Find the derivative of the following functions.
(ax2+cotx)(p+qcosx)(a)Let y = (ax2 + cot x) (p + q cosx).
Then, \(\frac { dy }{ dx } =\left( { ax }^{ 2 }+cotx \right) \frac { d }{ dx } (p+qcosx)+(p+qcosx)\frac { d }{ dx } ({ ax }^{ 2 }+cotx)\)
\(=-qsinx({ ax }^{ 2 }+cotx)+(p+qcosx)(2ax-{ cosec }^{ 2 }x)\)
1 Marks
