Calculus Examples

,
Step 1
Find the first derivative and evaluate at and to find the slope of the tangent line.
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Differentiate.
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By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Evaluate .
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Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Evaluate the derivative at .
Simplify.
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Multiply by .
Subtract from .
Step 2
Plug the slope and point values into the point-slope formula and solve for .
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Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Simplify the equation and keep it in point-slope form.
Solve for .
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Add and .
Multiply by .
Step 3
Enter YOUR Problem
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