Posts tagged derivatives
Finding derivatives of logs and natural logs

The derivatives of base-10 logs and natural logs follow a simple derivative formula that we can use to differentiate them. With derivatives of logarithmic functions, it’s always important to apply chain rule and multiply by the derivative of the log’s argument.

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Finding the equation of the tangent line at a point

When a problem asks you to find the equation of the tangent line, you’ll always be asked to evaluate at the point where the tangent line intersects the graph. You’ll need to find the derivative, and evaluate at the given point.

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Equation of the tangent line using implicit differentiation

To find the equation of the tangent line using implicit differentiation, follow three steps. First differentiate implicitly, then plug in the point of tangency to find the slope, then put the slope and the tangent point into the point-slope formula.

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Position functions and velocity and acceleration

You’re usually given a position equation x or s(t), which tells you the object’s distance from some reference point. This equation also accounts for direction, so the distance could be negative, depending on which direction your object moved away from the reference point.

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