تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
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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