RBSE Solutions for Class 12 Maths Chapter 7 Differentiation Ex 7.3
RBSE Solutions for Class 12 Maths Chapter 7 Differentiation Ex 7.3
Rajasthan Board RBSE Class 12 Maths Chapter 7 Differentiation Ex 7.3
Find dydx of following functions :
RBSE Solutions For Class 12 Maths Chapter 7 Question 1.
(i) 2x + 3y = sin y
(ii) x2 + xy + y2 = 200
Solution:
(i) 2x + 3y- sin y
Diff. w.r.t. x on both sides,
(ii) x2 + xy + y2 = 200
Diff. w.r.t. x on both sides,
RBSE Solutions For Class 12 Maths Chapter 7.3 Question 2.
(i) √x + √y = √a
(ii) tan (x + y) + tan (x – y) = 4
Solution:
(i) √x + √y = √a
DifF. w.r.t. x on both sides,
(ii) tan (x + y) + tan (x – y) = 4
DifF. w.r.t. x on both sides,
Exercise 7.3 Class 12 Maths RBSE Question 3.
(i) sin x + 2 cos2 y + xy = 0
(ii)x √y + y√x = 1
Solution:
(i) sin x + 2 cos2 y + xy = 0
DifF. w.r.t. x on both sides,
(ii) x√y + y√x = 1
DifF. w.r.t. x on both sides,
RBSE Class 12 Maths Chapter 7 Question 4.
(i) (x2 + y2)2 = xy
(ii) sin (xy) + x/y = x2 – y
Solution:
(i) (x2 + y2) = xy
Diff. w.r.t. x on both sides,
(ii) sin (xy) + x/y = x2 – y
Diff. w.r.t. x on both sides,
RBSE Solution Class 12 Maths Chapter 7 Question 5.
(i) x3 + y3 = 3axy
(ii) xy + yx = ab
Solution:
(i) x3 + y3 = 3axy
DifF. w.r.t. x on both sides,
(ii) xy + yx = ab
Solution :
Let u = xy and v = yx
Then, u + v = ab
Again, u = xy and v = yx
Taking log on both sides,
log u = y log x and log v = x log y
DifF. w.r.t. x,
RBSE Class 12 Math Chapter 7 Question 6.
(i) y = xy
(ii) xa . yb = (x – y)a+b
Solution:
(i) y = xy
Taking log on both sides,
log y = log xy = y log x
Diff. w.r.t. x on both sides,
RBSE Solutions For Class 12 Maths Chapter 7 Miscellaneous Question 7.
Solution:
RBSE Class 12 Maths Chapter 7.3 Question 8.
Solution:
RBSE Solutions For Class 12 Maths Chapter 7.3 Question 9.
Solution:
7.3 Class 12 Question 10.
Solution: