SOLUTION: f(x)= 5tan(5x to the third - 7) compute the derivative

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Question 290053: f(x)= 5tan(5x to the third - 7)

compute the derivative
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution and the chain rule.
+u=5x%5E3-7
du%2Fdx=15x%5E2
df%2Fdu=5%2Asec%5E2%28u%29
df%2Fdx=df%2Fdu%2Adu%2Fdx
df%2Fdx=5%2Asec%5E2%28u%29%2A15x%5E2=75x%5E2%2Asec%5E2%285x%5E3-7%29+