SOLUTION: Find the derivative of the function.
y=-8xln(5x+7)
dy/dx= ?
Please answer the dy/dx. Thank you
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Question 1191921: Find the derivative of the function.
y=-8xln(5x+7)
dy/dx= ?
Please answer the dy/dx. Thank you
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Just solved under this link
https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1191920.html
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
= ?
Differentiate separately both sides of the equation (treat as a function of ):
Differentiate the RHS of the equation. Apply the constant multiple rule.
=...........Apply the product rule
=
=
The function is the composition of two functions and , so
=......The derivative of the natural logarithm is
=
=
Return to the old variable:
=
The derivative of a sum/difference is the sum/difference of derivatives:
=
The derivative of a constant is :
=
Apply the constant multiple rule:
=
=
=
Thus,
Therefore,
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