Determine the tangent line to at , and use the tangent line to approximate the value at .

Determine the tangent line to at , and use the tangent line to approximate the value at .

Suppose you are a banker and set up a very unique function for your interest rate over time given by

However, you find your computer incapable of calculating the interest rate at . Estimate the value of the interest rate at by using a linear approximation, using the slope of the function at .

Suppose you are a banker and set up a very unique function for your interest rate over time given by

However, you find your computer incapable of calculating the interest rate at . Estimate the value of the interest rate at by using a linear approximation, using the slope of the function at .

Approximate the value at of the function ,with a linear approximation using the slope of the function at .

Approximate the value at of the function ,with a linear approximation using the slope of the function at .