the first is incorrect i'm afraid.I would appreciate if someone could check my solutions for the following:
find dy/dx of y=sqrt(sec(5x))
my answer is (5/2)(sec5xtan5x)^(-1/2)
find dy/dx of y+sin(y)=x
my answer is (1/(1+cos(y)))
Thank you for looking , thank you even more if you help!
better yet, i gave you the solutionAny chance I could get a pointer on where I went wrong with the first one?
it was my bad, i forgot to post the image, when i went back and looked at the post i noticed it wasn't there, so i uploaded it then, sorryThe image didn't load the first time I viewed your response, I thereby withdraw my previous comment, and submit a new one in it's place:
Thanks a lot
you asked for a hint, so that's what i'll give. see the diagram below, this is a related rates problem.I'm having trouble getting the following word question:
A police officer in a patrol car is approaching an intersection at 25m/s. When he is 210 m from the intersection, a truck crosses the intersection travelling at right angles to the police car's path at a rate of 25m/s. If the oficer focusses his spotlight on the truck, how fast is the light beam turning 3 seconds later assuming that both vehicles continue at their same rates.
I would appreciate if someone could take a quick look at this question, maybe just give me a hint of what kind of approach to take, I have a feeling I can figure it out once I have a start.
yes, the simplification was incorrect.Find dy/dx of 1-2cos^2(x) = 4sin(x)cos(x)+y^2
I simplified this one to sin^2(x) = sin(4x)+y^2
and then tried to differentiate from there but it didn't work out, and I tried to differentiate the original as well. Was the original simplification incorrect?
y = 1/(1 + cos(x)) = (1 + cos(x))^-1Find dy/dx of (1/(1+cos(x)))