##
Ms. Remka of city school is teaching chain rule to her students with the help of a flow-chart The chain rule says that if h and g are functions and
*
f
*
(
*
x
*
) =
*
g(h(x
*
)), then

##
Based on the above information, answer any four of the following questions.

Let f(x) = sin x and g(x) = x3

##
**
Question 1
**

##
*
fog
*
(x) = _______.

## (a) sin x3

## (b) sin3 x

## (c) sin 3x

## (d) 3 sin x

##
**
Question 2
**

##
*
gof
*
(x) = _______.

## (a) sin x3

## (b) sin3 x

## (c) sin 3x

## (d) 3 sin x

##
**
Question 3
**

##
**
d
**
**
/
**
**
dx
**
(sin3 x) = _______.

## (a) cos3 x

## (b) 3 sinx cos x

## (c) 3 sin2x cos x

## (d) −cos3 x

##
**
Question 4
**

##
**
d
**
**
/
**
**
dx
**
*
(
*
sin x3) _______.

## (a) cos (x)3

## (b) −cos (x)3

## (c) 3x2 sin (x)3

## (d) 3x2 cos (x3)

##
**
Question 5
**

##
**
d
**
**
/
**
**
dx
**
(sin 2x) at x = π/2 is _______.

## (a) 0

## (b) 1

## (c) 2

## (d) −2