# What is the equation of the line tangent to #f(x)=(x^2-x^3)e^(-x+2x^2)# at #x=ln5#?

Graph y=(x^2-x^3)e^(2x^2-x) [1.5, 1.7, -57.852, -54.594]} is being checked.

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The equation of the line tangent to f(x)=(x^2-x^3)e^(-x+2x^2) at x=ln5 is y = -4ln(5)x + 5ln(5).

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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.

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- What is the equation of the line tangent to #f(x)=7x^2-3x +6 # at #x=1#?
- How do you find the equation of the line tangent to #y=4secx–8cosx# at the point (pi/3,4)?
- What is the equation of the normal line of #f(x)=x/(x-1) # at #x=4 #?

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