What is the equation of the tangent line of #f(x)=1/x-1/x^2+x^3# at #x=1#?
Scarlett Allisony-1=4(x-1)
f(1) = 1 at x = 1.
Therefore, the tangent line equation would be y-1=4(x-1) (in point slope form).
By signing up, you agree to our Terms of Service and Privacy Policy
The equation of the tangent line of f(x)=1/x-1/x^2+x^3 at x=1 is y = 2x - 1.
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.
- Suppose you are blowing a spherical bubble, filling it in with air at a uniform rate of 400mm^3/s. How fast is the radius of the bubble increasing by the time it is already 20mm long?
- What is the instantaneous velocity of an object with position at time t equal to # f(t)= (te^(-3t),t^2-te^t) # at # t=2 #?
- How do you use the limit definition to find the derivative of #f(x)=x^2-15x+7#?
- What is the slope of the line normal to the tangent line of #f(x) = x^2e^(x-1)+2x-2 # at # x= 1 #?
- How do you find the average rate of change of #y=x^2+6x+10# over [1,3]?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7