Question

Find y':
y = (5x^3 + 7)(2x^7 - 6)

Answer 1

product rule
\[y' = (5 x^{3} + 7)'(2x ^{7} - 6) + (5 x^{3} + 7)(2x ^{7} - 6)' \]
\[y' = (15 x^{2})(2x ^{7} - 6) + (5 x^{3} + 7)(14x ^{6}) \]
\[y' = 100x ^{9} +98x ^{6} - 90x ^{2}\]