RBSE Solutions for Class 12 Maths Chapter 7 Differentiation Ex 7.5
RBSE Solutions for Class 12 Maths Chapter 7 Differentiation Ex 7.5
Rajasthan Board RBSE Class 12 Maths Chapter 7 Differentiation Ex 7.5
RBSE Solutions For Class 12 Maths Chapter 7.5 Question 1.
(i) y = x3 + tan x
(ii) y = x2 + 3x + 2
(iii) y = x cos x
(iv) y = 2 sin x + 3 cos x
(v) y = e-x cos x
(vi) y = a sin x – b cos x
Solution:
(i) y = x3 + tan x
Diff. w.r.t. x on both
Again diff. w.r.t. x on both sides
(ii) y = x2 + 3x + 2
Diff. w.r.t. x on both sides,
(iii) y = x cos x
Diff. w.r.t. x on both sides,
(iv) y = 2 sin x + 3 cos x
Diff. w.r.t. x on both sides,
(v) y = e-ex cos x
Diff. w.r.t. x on both sides,
(vi) y = a sin x – b cos x
Diff. w.r.t. x on both sides,
RBSE Solutions For Class 12 Maths Chapter 7 Question 2.
If y = a sin x + b cos x, then prove that:
Solution:
Given
y = a sin x + b cos x …..(i)
Diff. w.r.t. x on both sides,
RBSE Solutions For Class 12 Maths Chapter 7 Exercise 7.5 Question 3.
If y = sec x + tan x, then prove that:
Solution:
Given y = sec x + tan x
Diff. w.r.t. x on both sides,
Ex 7.5 Class 12 RBSE Question 4.
If.y = a cos nx + b sin nx, then prove that:
Solution:
Given
y = A cos nx + b sin nx
Diff. w.r.t. x on both sides,
Exercise 7.5 Class 12 Maths RBSE Question 5.
If x = a cos3 θ, y = a sin3 θ, then find d2y/dx2 at θ = π/4
Solution:
Given y = a sin3 θ
and x = a cos3 θ
Diff. w.r.t. θ on both sides,
RBSE Solutions For Class 12 Maths Chapter 7 Miscellaneous Question 6.
If x3 + y3 – 3axy = 0, then prove that
Solution:
Given,
x3 + y3 – 3axy = 0
Diff. w.r.t x on both sides,
RBSE Solutions For Class 12 Maths Question 7.
If y = sin-1 x, then prove that:
Solution:
Given
y = sin-1 x
Diff. w.r.t. x on both sides
RBSE Solution Class 12 Maths Chapter 7 Question 8.
If y = (sin-1 x)2, then prove that:
Solution:
Given y = (sin-1 x)2
Diff. w.r.t. x on both sides,
The Complete Educational Website