Linear Approximation | Formula, Derivation & Examples

Linear Approximations | Equation & Examples

Session 24: Examples of Linear Approximation | Single Variable Calculus | Mathematics | MIT OpenCourseWare

Linearization and Linear Approximation

(a) Find the tangent line approximation to cos x at x=π / 4(b) Use a graph to explain how you know whether the tangent line approximation is an under- or overestimate for 0 ≤ x ≤π / 2(c) To one decimal place, estimate the error in the approximation for 0 ≤ x ≤π / 2

Trimming and Linearization

(a) Find the local linear approximation L to the specified func... | Filo

43. a. Write the equation of the line that represents the linear approximation of the following function at the given point.b. Use the linear approximation to estimate the given quantity.c. Compute the percent error in your approximation, 100|approximation - exact|/|exact|, where the exact value is given by a calculator.f(x) = 3/64 x; a = 0; 3/62.5a. L(x) = b. Using the linear approximation, 3/62.5   Type an integer or a decimal.(Round to four decimal places as needed.

Find a linear approximation for the following functions at the indicated points. g(x) = x2 9, x0 = – 4 - Mathematics | Shaalaa.com