Sophia: Using Multiple Derivative Rules

Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...

Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...

There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...

The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...

There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....

This lesson practices applying several rules to find the derivative of a function. It is 2 of 7 in the series titled "Using Multiple Derivative Rules."

This lesson practices applying several rules to find the derivative of a function. It is 7 of 7 in the series titled "Using Multiple Derivative Rules."

Taking the derivative of a product of two functions is demonstrated here. This lesson is 1 of 7 in the series titled "Using the Product Rule."

This lesson practices applying several rules to find the derivative of a function.

WebMath offers an-line solver that allows the student to input a function have it automatically differentiated using the quotient rule.