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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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1. Use the product rule to find the derivative of x²-sin(x) 2. FOIL the polynomial (x²+5) then take a derivative. 3. Instead of FOILing, use the chain rule to calculate the derivative of the formula in the previous question. 4. Find the derivative of cos(4x²+5x) 5. Find the derivative of 5x'e (HINT: this is actually two functions multiplied together, one a polynomial and other an exponential) 6. Find the derivative of √5x (HINT: write root as a power) 7. Find the derivative of In(x²). 8. Find the derivative of (x²+1)(e³*) (HINT: this one will need BOTH the product and chain rule) 9. Find the derivative of 3x+2 5x+1 (HINT: write denominator as -1 power being multiplied with numerator, then use product/chain rule - there is also what is known as the quotient rule for derivatives, but using the product rule is just as good and often faster).

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