# How do you use the definition of a derivative to find the derivative of #f(x)=x^2-3x-1#?

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Definition of derivative is given by

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To find the derivative of ( f(x) = x^2 - 3x - 1 ) using the definition of a derivative, you would apply the limit definition of the derivative, which is:

[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} ]

Substitute ( f(x) = x^2 - 3x - 1 ) into the formula and then simplify the expression.

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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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- How do you find an equation of the tangent line to the curve at the given point if #y = sec (x) - 2 cos (x)# and #p=(pi/3, 1)#?

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