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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