SOLUTION: Find the derivative of the function. y=-8xln(5x+7) dy/dx= ? Please answer the dy/dx

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Question 1191920: Find the derivative of the function.
y=-8xln(5x+7)
dy/dx= ?
Please answer the dy/dx
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

f(x) = -8x
f ' (x) = -8

g(x) = Ln(5x+7)
g ' (x) = 5/(5x+7)

y = f(x)*g(x)
dy/dx = f ' (x)*g(x) + f(x)*g ' (x) .... product rule
dy/dx = -8*Ln(5x+7) + (-8x)*5/(5x+7)
dy/dx = -8*Ln(5x+7) - 40x/(5x+7)