What is the equation of the line normal to #f(x)=-x^2+3x - 1# at #x=-1#?
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The equation of the line normal to f(x)=-x^2+3x - 1 at x=-1 is y = -2x - 1.
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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.
- How do you find the equations for the normal line to #x^2+y^2=9# through (0,3)?
- If the tangent line to #y = f(x)# at #(4,3)# passes through the point #(0,2)#, Find #f(4)# and #f'(4)#? An explanation would also be very helpful.
- The graph of the function (x^2 + y^2)^2 = 4x^2y is a double folium as shown below. (a) Find, algebraically, all points on the curve with y = 1? (b) Verify that the slopes of tangent lines to both points with y = 1 is equal to 0?
- How do you find f'(x) using the limit definition given # f(x)=3x^(−2)#?
- What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin(2t-pi/2),cost/t ) # at # t=(3pi)/8 #?
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