The chain rule is often one of the hardest concepts for calculus students to understand. It’s also one of the most important, and it’s used all the time, so make sure you don’t leave this section without a solid understanding.

Read MoreThe 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.

Read MoreWhen 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.

Read MoreTo 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.

Read MoreGiven that the numerator is a constant and the denominator is any function, the derivative will be the negative constant, multiplied by the derivative of the denominator divided by the square of the denominator.

Read MoreYou’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.

Read MorePower rule works for differentiating power functions. To use power rule, multiply the variable’s exponent by its coefficient, then subtract 1 from the exponent.

Read MoreIf the original function is the product of three functions, then its derivative is the sum of three products. If the original function is the product of four functions, then its derivative is the sum of four products.

Read MoreThe definition of the derivative, also called the “difference quotient”, is a tool we use to find derivatives “the long way”, before we learn all the shortcuts later that let us find them “the fast way”.

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