CALCULUS help please
posted by Kaamini .
Evaluate the derivative of the function below at the point (ð/3, 9.301). (Round to three decimal places.)
y= (9/x) + ((cosx)^.5)

y = 9/x + sqrt(cos x)
y' = 9/x^2  .5sin x/sqrt(cos x)
y'(pi/3) = 9/(pi^2/9)  .5*sqrt(3)/2 / sqrt(.5)
= 81/pi^2  sqrt(6)/4
= 8.819
Respond to this Question
Similar Questions

math
round result to two decimal places...the answer i have is: 7.023 so two decimal places would it be: 702.0 You're asked to round to two decimal places. 7.023 = 7.02. Your answer has only one decimal place. so i guess my answer is wrong … 
calculus
find the derivative of the function y=x^x Hence fin the coordinates of the turning point of the funcion yx^x. Give the values correct to two decimal places 
Calculus
Consider the function below. f(x) = [1(4/x)]^x (a) Use a graph to estimate the value of the limit of f(x) as x approaches infinity. (Round the answer to two decimal places.) (b) Use a table of values of f(x) to estimate the limit. … 
Calculus
Find the points of inflection of the curve below. Round the answers to three decimal places. (Hint: All three are in a straight line.) y= (1+x)/(1+x^2) 
Calculus
Calculus Limit Problem: Evaluate the function at the given numbers (correct to six decimal places). Use the results to guess the value of the limit, or explain why it does not exist. f(x)=cosx1/sinx x=1, .5, .4, .3, .2, .1, .05, .01 … 
5 PreCalculus Questions
1. What is the value of x in the right triangle below? 
Calc
1. Differentiae each function a) Y=3x^2+5x4 b) F(x) = 6/x3/x^2 c) F(x)=(3x^24x)(x^3+1) 2. Determine the equation of the tangent line to the curve y=2x^21 at the point where x=2 3. Evaluate, rounding to two decimal places, If … 
PreCalculus
For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of the water around the boat, d(t), in meters, where t is measured in hours since midnight, is d(t)=5+4.6sin(0.5t) Use three decimal places in … 
Statistics
You take a trip by air that involves three independent flights. If there is an 67% chance each specific leg of the trip is on time, what is the probability all three flights arrive on time? 
calculus
If 3x^2 + y^2 = 7 then evaluate the second derivative of y with respect to x when x = 1 and y = 2. Round your answer to 2 decimal places.