What is the slope of the line tangent to the graph of #y=ln(x^2)# at #x=e^2#?
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The slope of the line tangent to the graph of y=ln(x^2) at x=e^2 is 4/e.
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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.
- What is the instantaneous rate of change of #f(x)=(x^2-2)e^(x+2 ) # at #x=1 #?
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- How do you find the equations for the tangent plane to the surface #h(x,y)=lnsqrt(x^2+y^2)# through (3, 4, ln5)?
- How do you graph g(x)=sinx and sketch a tangent line at the point (0,0)?
- Consider the two functions #f(x)=x^2+2bx+1# and #g(x) =2a(x+b)#, where the varible x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab-plane. Let S be the set ......?

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