What is the derivative of #f(t) = (t^3-e^(3t-1) , 3t^2+2e^t ) #?
The derivative of the parametric function is
By signing up, you agree to our Terms of Service and Privacy Policy
The derivative of ( f(t) = (t^3 - e^{3t - 1}, 3t^2 + 2e^t) ) with respect to ( t ) is ( f'(t) = (3t^2 - 3e^{3t - 1}, 6t + 2e^t) ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- For #f(t)= ((t-1)^2,-t^2-2t)# what is the distance between #f(2)# and #f(5)#?
- How do you differentiate the following parametric equation: # x(t)=-2te^t+4t, y(t)= -5t^2-e^(t) #?
- A line is defined by the parametric equations: x = cos2t and #y = sin^2t# how do you find the cartesian equation of the line?
- Given #y=(x/5)^2# how do you derive a parametric equation?
- What is the arclength of #(sqrt(3t-2),1/sqrt(t+3))# on #t in [1,3]#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7