Linear Approximation | Formula, Derivation & Examples

SOLVED: Linear approximation a. Write the equation of the line that represents the linear approximation to the following functions at the given point a. 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)=ln(1+x) ; a=0 ; f(0.9) | Numerade

Linear Approximations | Equation & Examples

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