# Derivative: find a slope of tangent line=square root of 4-5x when x=-1 ?

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I want to know which formula will work to find slope in derivative and what will be its answer.

I want to know which formula will work to find slope in derivative and what will be its answer.

Instead of using radical notation for square roots, I prefer to use exponential notation:

Thus, we currently have

Return to radical notation

When we substitute x=-1, we get

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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.

- How do you find equations for the lines that are tangent and normal to the graph of #y=secx# at #x=pi/4#?
- What is the equation of the tangent line of #f(x) = (e^(x)-1)/(x^2-1)# at #x=2#?
- What is the value of #x# where the tangent to #y -1 = 3^x# has a slope of #5#?
- How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3#?
- What is the equation of the line that is normal to #f(x)=-e^x # at # x=-2 #?

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