CHETANA PUBLICATION-Differentiation-Exercise
- Find dy/dx if : x= 3 costheta - 2cos^3theta, y= 3 sintheta - 2sin^3the...
Text Solution
|
- Find dy/dx if: x= a(t-(1/t)), y=a(t+(1/t))
Text Solution
|
- Find dy/dx if: x= 2at^2, y= at^4
Text Solution
|
- Find dy/dx if: x= a(cos t + log tan (t/2)), y= a sin t
Text Solution
|
- If x= sqrt (a^(sin^(-1) t)) and y= sqrt (a^(cos^(-1) t)), then show th...
Text Solution
|
- If x^2 + y^2 = t -(1/t) and x^4 + y^4 = t^2 + (1/ t^2), then show that...
Text Solution
|
- If x= e^t (sin t - cos t), y= e^t (sin t + cos t), find dy/dx at t= pi...
Text Solution
|
- Differentiate tan^(-1) (log t) w.r.t. log(sec^(-1) t)
Text Solution
|
- Differentiate log(sec x + tan x) w.r.t. x
Text Solution
|
- If y= log x, then find (d^2y) / (dx^2)
Text Solution
|
- If e^x + e^y = e^(x+y) , show that dy/dx = - e^(y-x)
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: y= x^3 + 5x^2 -7x + 10
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: y= log(frac{x^2}{e^x})
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: y= sin(log x)
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: y= x log x
Text Solution
|
- If ax^2 + 2hxy + by^2 =0, show that dy/dx = y/x
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: x= sin sqrt t , y= sin sqrt t
Text Solution
|
- Find (d^2 y)/(dx^2) of the following: x = a cos^3theta, y= b sin^3thet...
Text Solution
|
- If x= costheta, y= sin^3theta, show that y(d^2 y)/(dx^2) + (dy/dx)^2 =...
Text Solution
|
- If y= cos (m sin^(-1) x), show that (1- x^2)(d^2 y)/(dx^2) - x(dy/dx) ...
Text Solution
|