12th-Grade Math Challenge

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.