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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