Maths  Calculus
posted by Christine .
Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand?
f(t) =3t^4 and g(t)=sin(4t)
Then using the Quotient Rule differentiate the function
k(t) 3t^4/ sin(4t) (0<t< pie)

f'=d3/dtd/dt (t^4=04t^3
g'=d/dt (sin(4t))= cos4t * d4t/dt=4cos4t
ARRRRGGG. Quotent rule in ASCII
That is too much algebra for me to do now, maybe later. 
2nd question:
first line derivative
= [ 4t^3(sin(4t))  4cos(4t)(3t^4) ] / (sin(4t))^2
after that there are several things you could do, I don't know what kind of answer your course is expecting.
you could split it up into two fractions ...
= (4t^3)/sin(4t)  4(3t^4)cot(4t) / sin(4t)
as one possibility
Respond to this Question
Similar Questions

math
can some one please help me with the following questions as i don't understand them please (a) write down the derivative of each of the functions f(x)=E7x and g(x)=cos(2x) using the product rule differentiate the function k(x)=E7xcos(2x) … 
MoRe HeLp PlEaSe!! (calc)
Also can I get some help with this LONG, TIRESOME PROBLEM? 
calculus
Find the derivative of the function below in two ways. F(x) = (x  7 x sqrt(x)) / sqrt(x) (a) By using the Quotient Rule. (b) By simplifying first. 
Calculus
Find the derivative of y=x^2 / e^2x using the Quotient Rule, and simplify. I really need help! please! :) 
calculus
Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative 
Maths  Calculus
Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? 
calculus
Please help. Applying the chain rule, how do I find the derivative of f(x)=In(e^xe^x) (x>0) and then using this answer use the quotient rule to find the second derivative. I cannot do this so any answer greatly appreciated. 
Calculus
I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that … 
calculus
i need to find the derivative using chain rule and show steps: y= (x) / ((x^2)1)^(1/2) and is it possible to have free tutoring online like through a chatroom? 
Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^1 x is 1/(x*sqrt(x^2 1)). …