# CBSE Class 12-science Maths Differentiation: Implicit Functions

Brush up the important concept of CBSE Class 12 Science Mathematics Continuity and Differentiability – Differentiation Implicit Functions with the online study resources at TopperLearning. Learn to determine the derivatives of inverse trigonometric functions in Maths problems with our video lessons. Also, understand how to compare explicit and implicit functions while learning about differentiation in this chapter.

The CBSE Class 12 Science Maths chapter resources on our learning portal will be of great help during your revision. Practise the accurate solutions of problems based on differentiation by going through our textbook solutions. In addition, use our practice tests and practice exam papers to build your capabilities for scoring high marks in your Maths board exam.

## Videos

- Let f(x) = x-[x], x€R, then f'(1/2) is
- Find dy/dx where 𝑥2 +4𝑥𝑦+4𝑦=1
- If y = e
^{tan x }, prove that (cos^{2}x)d^{2}y/dx^{2}– ( 1 + sin 2x).dy/dx = 0 Explain in great detail - If y = acos(logx) + bsin(log x), prove that x
^{2}y_{2 }+ xy_{1}+ y = 0 Explain in great detail - If y = (cosec x + cot x ), prove that (sinx)d
^{2}y/dx^{2}– y^{2}= 0 Explain in great detail - If y = (tan
^{-1}x)^{2}, prove that ( 1 + x^{2})^{2}y_{2}+ 2x( 1 + x^{2})y_{1}= 2 Explain in great detail - If y = tan
^{-1}{ (1 + x)^{1/2}– (1-x)^{1/2}/ (1+ x)^{1/2}+ (1- x)^{1/2}Prove that dy/dx = 1 / 2(1 – x^{2})^{1/2} - diferentiate wrt x
If y = sin { 2 tan
^{-1}( 1 – x / 1 + x)^{1/2}} show that dy / dx = -x / (1- x^{2})^{1/2} - differntiate wrt x
If y = sec
^{-1}( x + 1/ x – 1) + sin^{-1}( x – 1 / x + 1), show that dy/dx = 0 - Find dy/dx
y = sin (1 + x
^{2}/1 – x^{2})

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