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Mathematics (SNC) – 1st Year

Differentiation Quiz

Paper Type
Unit Quiz
Time Allowed
60 Minutes
Total Marks
40
Student Name
________________
Roll Number
________________

Unit #13: Differentiation

Q1. Choose the correct option.

Q2. Write down short answers of following questions.

Q3. Write detailed answers of the following questions. (Answer any 2) (2×5=10)

1. Derivative from First Principle

Find the derivative of √x at x = a from first principle.

2. Tangent Line to Square Root Function

Find the gradient and an equation of tangent line to the graph of f(x) = √x at x = 9.

3. Instantaneous Velocity

A stone is thrown upwards and its height after t seconds is given by: s(t) = -16t² + 32t + 10 (in feet). Find the instantaneous velocity at t = 1.