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← SetsBasic Calculus — Set 1
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Basic Calculus Practice Questions — Set 1

10 free Basic Calculus reviewer questions with answers and explanations. Pindutin ang sagot mo para makita agad kung tama — kasama na ang paliwanag. Set 1 of 6.

1

What is the limit of the function f(x) = (x² - 9)⁄(x - 3) as x approaches 3?

2

Using the Power Rule, find the derivative (dy/dx) of the function y = 4x³.

3

A function f(x) is said to be 'Continuous' at a point x = a if which conditions are met?

4

Evaluate the derivative of the trigonometric function f(x) = sin(x) + cos(x).

5

What is the derivative of the composite function y = (2x + 5)⁴ using the 'Chain Rule'?

6

Find the slope of the tangent line to the curve y = x² at the specific point (3, 9).

7

Evaluate the indefinite integral of the function: ∫(6x²) dx correctly today.

8

How is a definite integral evaluated over [a, b] per the Fundamental Theorem?

9

Which form allows the use of L'Hôpital's Rule to find a limit in calculus?

10

What is the derivative of the natural log function y = ln(x) for x > 0?