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Topnotch AI math solver for students and educators. Promptly resolve math homework delivering stepbystep solutions and succinct explanations.
Prompts
 Use the chain rule to find the derivative of the function f(x) = cos(3x^2 + 2x + 1).
 Prove by induction that the sum of the squares of first 'n' natural numbers is given by (n(n+1)(2n+1))/6.
 Let p be a prime number. Show that for every integer a such that 0 < a < p, there exists an integer b such that b^2 โก a (mod p). This type of a is known as a quadratic residue modulo p.
 Given the function f(x) = (3x^2  2x + 5)/(e^x 1), find the limit as x approaches 0.
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