# RBSE Solutions for Class 12 Maths Chapter 7 Differentiation Ex 7.1

## Rajasthan Board RBSE Class 12 Maths Chapter 7 Differentiation Ex 7.1

Find the derivative of following functions w.r.t. x :

RBSE Solutions For Class 12 Maths Chapter 7 Question 1.
sin (x2)
Solution:
Let y = sin (x2)
DifF. w.r.t.x,

RBSE Class 12 Maths Chapter 7 Question 2.
tan (2x + 3)
Solution:
Let y = tan (2x + 3)
DifF. w.r.t.x,
$$\frac { dy }{ dx }$$ = $$\frac { d }{ dx }$$ (tan(2x + 3))
= sec2 (2x + 3) $$\frac { d }{ dx }$$ (2x + 3)
= sec2 (2x + 3).(2 × 1 + 0)
= 2 sec2 (2x + 3).

RBSE Solution Class 12 Maths Chapter 7 Question 3.
sin {cos (x2)}
Solution:
Let y = sin {cos (x2)}
DifF. w.r.t. x,
$$\frac { dy }{ dx }$$ = $$\frac { d }{ dx }$$ sin (cos(x2))
cos (cos x2). (- sin x2) $$\frac { d }{ dx }$$ x2
= -cos (cos x2) sin (x2). 2x
= -2x sin (x2) cos (cos x2)

RBSE Solutions For Class 12 Maths Chapter 7.1 Question 4.

Solution:

RBSE Class 12 Maths Chapter 7.1 Question 5.

Solution:

RBSE Solutions For Class 12 Maths Chapter 7 Miscellaneous Question 6.
sin x°
Solution:

RBSE Class 12 Math Chapter 7 Question 7.

Solution:

RBSE Solutions For Class 12 Maths Chapter 7 Exercise 7.1 Question 8.
sec x°
Solution:

12th Math 7.1 Question 9.

Solution:

RBSE Solutions For Class 12 Maths Question 10.

Solution:

12th Maths RBSE Solution Question 11.

Solution:

12 Math RBSE Solutions Question 12.

Solution:

RBSE Solution 12th Math Question 13.
a tan3x
Solution:

12th RBSE Solution Maths Question 14.
loge (sec x + tan x)
Solution :

RBSE Solutions For Class 12 Maths Chapter 7.1 Question 15.
sin3 x. sin 3x.
Solution:

= 12 sin3 x . cos x – 24 sin5 x cos x
= 12 sin3 x cos x (1 – 2 sin2 x)
= 12 sin3 x cos x . cos 2x
= 6 sin2 x . 2 sin x . cos x . cos 2x
= 6 sin2 x . sin 2x . cos 2x
= 3 sin2 x . 2 sin 2x . cos 2x
= 3 sin2 x sin 2(2x)
= 3 sin2 x . sin 4x.