CBSE 12th Standard Maths Subject Continuity and Differentiability HOT Questions 4 Mark Questions 2021
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CBSE 12th Standard Maths Subject Continuity and Differentiability HOT Questions 4 Mark Questions 2021
12th Standard CBSE
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Reg.No. :
Maths
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If x sin (a+y) + sin a cos (a+y)=0, prove that \(\frac { dy }{ dx } =\frac { { sin }^{ 2 }(a+y) }{ sin\quad a } \)
(a) -
If \(y={ \left\{ x+\sqrt { { x }^{ 2 }+{ a }^{ 2 } } \right\} }^{ n }\)prove that \(\frac { dy }{ dx } =\frac { ny }{ \sqrt { { x }^{ 2 }+{ a }^{ 2 } } } \)
(a) -
If \(y={ \left\{ x+\sqrt { { x }^{ 2 }+{ a }^{ 2 } } \right\} }^{ n }\)prove that \(\frac { dy }{ dx } =\frac { ny }{ \sqrt { { x }^{ 2 }+{ a }^{ 2 } } } \)
(a) -
If \({ x }^{ 2 }+{ y }^{ 2 }=t-\frac { 1 }{ t } \)and \({ x }^{ 4 }+{ y }^{ 4 }={ t }^{ 2 }+\frac { 1 }{ { t }^{ 2 } } \) show that \(\frac { dy }{ dx } =\frac { 1 }{ { x }^{ 3 }y } \)
(a) -
If \({ x }^{ 2 }+{ y }^{ 2 }=t-\frac { 1 }{ t } \)and \({ x }^{ 4 }+{ y }^{ 4 }={ t }^{ 2 }+\frac { 1 }{ { t }^{ 2 } } \)show that \(\frac { dy }{ dx } =\frac { 1 }{ { x }^{ 3 }y } \)
(a)
