Differentiate G(t)=(3t5−t2)(t−5t)
G(t)=(3t5)(t)−(3t5)(5t)−(t2)(t)+(t2)(5t)Use FOIL methodG(t)=3t6−15t4−t3+5tMultiply variables with same bases by adding their exponents and divide variables with the same base by subtracting the exponents
Thus, by taking the derivative, we get
G′(t)=ddt[3t6−15t4−t3+5t]=18t5−60t3−3t2+5
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