Linear Approximation | Formula, Derivation & Examples

Linear Approximations | Equation & Examples

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

Answered: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The equation of the tangent line to f(x) at x=3 can be written… | bartleby

Answered: Use linear approximation, i.e. the tangent line, to approximate v81.4 as follows: Let f(x) = line to f(x) at x = 81 Vx. Find the equation of the tangent L(x) =… | bartleby

(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