## 6 Questions

What is the derivative of sin(x) with respect to x?

cos(x)

What is the value of ∫(2x + 3) dx?

x^2 + 3x + C

What is the value of lim(x->2) (3x^2 - 4x + 2)?

14

What is the derivative of f(x) = 3x^2 + 4x - 7?

6x + 4

In a right-angled triangle, what is the relationship between the lengths of the sides?

a^2 + b^2 = c^2

What is the value of sin(π/2)?

1

## Study Notes

### Calculus

- The derivative of sin(x) with respect to x is cos(x).
- The value of ∫(2x + 3) dx is x^2 + 3x + C, where C is the constant of integration.
- The value of lim(x→2) (3x^2 - 4x + 2) is 2.

### Derivatives

- The derivative of f(x) = 3x^2 + 4x - 7 is f'(x) = 6x + 4.

### Trigonometry

- In a right-angled triangle, the lengths of the sides are related by the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the lengths of the legs, and c is the length of the hypotenuse.
- The value of sin(π/2) is 1.

Test your understanding of calculus and geometry with these important 12th-grade math questions. Challenge yourself with derivative calculations, integration, limits, and the Pythagorean theorem.

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