If a function is differentiable then it is continuous

The video tutorial covers the importance of reading questions carefully during tests, especially multiple-choice ones. It explains conditional statements in calculus, focusing on differentiability and continuity. The instructor discusses inverse statements with examples like the absolute value and square root functions. The tutorial also explores converse and contrapositive statements, emphasizing logical equivalence and false statements.

What is the main point emphasized about reading questions during tests?

• To read quickly and answer immediately

• To skip difficult questions

• To guess if unsure

• To slow down and understand the question

Which statement is true regarding differentiability and continuity?

• If a function is continuous, it is always differentiable

• If a function is differentiable, it is continuous

• Differentiability and continuity are unrelated

• Continuity implies differentiability

What is an example of a continuous function that is not differentiable?

• Exponential function

• Absolute value function

• Linear function

• Quadratic function

What does the converse of a conditional statement imply?

• If not q then not p

• If p then q

• If not p then not q

• If q then p

What does the contrapositive of a conditional statement state?

• If not q then not p

• If p then q

• If not p then not q

• If q then p