Sign In
Ask Question
Davion Ross
Mathematics
22 May, 16:03
Find the derivative of f (x) = 4.15cos^x
+5
Answers (
1
)
Aracely Harvey
22 May, 16:32
0
Did you mean the derivative of (cos x) ^x? Then, use logarithmic differentiation:
y = (cos x) ^x
ln (y) = ln[ (cos x) ^x]
ln (y) = x * ln[cos x]
(1/y) * y' = 1 * ln[cos x] + x * (-sin x) / (cos x)
y' / y = ln[cos x] - (x sin x) / (cos x)
y' = y * [ ln[cos x] - (x sin x) / (cos x) ]
the key step in the process - the substitution.
You had: y = (cos x) ^x, so we will substitute for y.
y' = (cos x) ^x * [ ln[cos x] - (x sin x) / (cos x) ]
(and this is your final answer)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Find the derivative of f (x) = 4.15cos^x ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain
Answers (1)
A bag contains the red marbles, we orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the bag What is the approximate probability of choosing an orange marble and a green marble? Save and Exit Submit
Answers (2)
Angelo Gomez has a car loan of $315 per month at 6% annual interest rate. He would like to pay off the car two years early. About how much will his payoff be?
Answers (1)
Write 79,700 in scientific notation show work
Answers (1)
What are three consecutive numbers whose cubes have a sum of 2241?
Answers (1)
New Questions in Mathematics
The lengths of the sides of a square are multiplied by 2.5. how is the ratio of the areas related to the ratio of the sides?
Answers (1)
If a restaurant bill totals $85, what amount should be left as 15% tip A.$97.75 B.$11.90 C.$12.25 D.$12.75
Answers (1)
Troy and Abed flip a penny, a nickel, dime, and a quarter at the same time. How many outcomes art possible.
Answers (2)
A circle has a circumference of 11,34 units what is the diameter of the circle
Answers (1)
24 1/2% is equal to which
Answers (1)
Home
»
Mathematics
» Find the derivative of f (x) = 4.15cos^x
Sign In
Sign Up
Forgot Password?