Use logarithmic differentiation to find the derivative of the function. y = x7 cos(x) Step 1 Using properties of logarithms, we can rewrite the equation as In(y) = In(x7 cos(x)), which is equivalent to Inty) = ( 7 cos (x) 7 cos(x) dn(x)). Step 2 Note that 7 cos(x) In(x) is a product. Therefore, its derivative is given by (7 cos(x)) In(x) + (In(x))( 7 cos(x) Submit Skip (you cannot come back)
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Please fill in the information for step 2 and use it to solve for the final answer.
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Grades for Skylar Quinn: MATH1
W HW 3.6 - Math 181 - Spring 2021 x
Sy differentiate y=x^{7cos(x)} - Step x
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Tutorial Exercise
Use logarithmic differentiation to find the derivative of the function.
y = x7 cos(x)
Step 1
Using properties of logarithms, we can rewrite the equation as In(y) = In(x' cos()), which is equivalent to
7 cos (x)
|7 cos (x)
In(y) =
(In(x)).
Step 2
Note that 7 cos(x) In(x) is a product. Therefore, its derivative is given by
(7 cos(x)) In (x)
:) - cmc»>( 7 cos(x)
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