Use the definition of the derivative as a limit to determine the slope of the tangent line to f(x) at x = 1 I know the rule is limit as h goes to 0 But how do I rearrange this one so the answer isn't 0?
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this is called finding the limit = = = = Now plug in 0 for x and you get Now plug in your x =1 for x and that is your answer
Originally Posted by 11rdc11 this is called finding the limit ... = Now plug in 0 for h and you get <=== tiny typo ... Originally Posted by smplease Use the definition of the derivative as a limit to determine the slope of the tangent line to f(x) at x = 1 I know the rule is limit as h goes to 0 But how do I rearrange this one so the answer isn't 0? 1. Using the formula you know that 2. You are asked to calculate the slope of the graph at x = 1, that means: 3. Expand the brackets in the numerator: 4. Collect like terms and factor the numerator. Cancel the factor h. You'll get:
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