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Learn how to find the derivative of the function f(x) = x² + 3x - 2 using the power rule, constant multiple rule, and sum/difference rule. The derivative is f'(x) = 2x + 3.

Simplify the algebraic expression (a + b)² - (a - b)² using the difference of squares pattern. The solution reveals a simplified expression of 4ab.

Find the sum of the first 1000 natural numbers. This math problem can be solved using the formula for arithmetic series, resulting in a sum of 500,500.

This SEO description explains how to find the derivative of the sum of sine and cosine functions. The problem asks for the derivative of sin(x) + cos(x), and the solution demonstrates the application of the sum rule and basic trigonometric derivatives to arrive at the answer: cos(x) - sin(x).

Learn how to find the limit of the rational function (3x² + 2x) / (x² + 1) as x approaches infinity. The solution reveals a simple technique for evaluating limits at infinity and arrives at the answer: 3.

Find the derivative of the polynomial function f(x) = x³ + 2x² - 5x + 3 using the power rule. The derivative is f'(x) = 3x² + 4x - 5.

Learn how to solve the definite integral ∫₀² (x² + 2x) dx, step-by-step, and discover the answer: 20/3.

Find the derivative of the polynomial function f(x) = x³ + 2x² - 5x + 3 using the power rule. The derivative is f'(x) = 3x² + 4x - 5.

Solve the absolute value inequality |x - 3| ≤ 4. The solution is -1 ≤ x ≤ 7.

Solve for x in the inequality 2x - 7 > 5. The solution is x > 6.