Ask a New Question

Question

Use the Linear Approximation to estimate Δ𝑓=(10.4)^1/4−(10)^1/4.
4 years ago

Answers

oobleck
f(x) = x^(1/4)
f'(x) = 1 / 4x^(3/4)
f'(10) = 1 / 4∜1000 ≈ 0.0444
so at x=10, Δf/Δx ≈ df/dx.
Δf ≈ f'(10)*Δx = 0.444 * 0.4 = 1.9559
4 years ago

Related Questions

Use a linear approximation (or differentials) to estimate the given number (2.001)^5 Use a linear approximation (or differentials) to estimate the given number. Tan 44 degrees Ple... Use linear approximation or differentials to estimate the amount of paint in cubic centimeters neede... Use the Linear Approximation to estimate ∆f=f(3.5)−f(3) for f(x)=2/(1+x^(2))? Δf ≈ Estimate t... Use a linear approximation (or differentials) to estimate the given number. radical (99.4) Use linear approximation, i.e. the tangent line, to approximate ((125.1)^(1/3)) as follows: Let f (x... The linear approximation at x = 0 to sin(8x) is L(x) = A+Bx where A = B= Use linear approximation, i.e. the tangent line, to approximate (1/0.504) as follows: Find the equat... Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use