# The linear approximation at x = 0 to f(x) = \sqrt { 1 + 9 x } is y =?

• The linear approximation at x = 0 to f(x) = \sqrt { 1 + 9 x } is y =?

Linear approximation to $y = \sqrt{1-x} ... The correct approximation is$y\approx f(0)+xf'(0)=1-\frac12x$. ... {0.9}$ (i.e.$x=0.1$) and $\sqrt ... Read more Positive: 62 % Example 1 Linear Approximation of the Square Root . Let$f(x) = x^{1/2}.$Find the linear approximation of$f$near$x = 4$(at the point$(4, f(4)) = (4 ...
Positive: 59 %

### More resources

Answer to Verify the linear approximation at (2pi, 0). f(x, y) = 1 ... Show transcribed image text Verify the linear approximation at (2pi, 0). f(x, y) = 1 ...
Positive: 62 %
Tangent Planes and Linear Approximation 1. ... Let f(x;y;z) = p x+ xyz. Use linear approximation to approximate the ... (x;y;z) = (1:1;1:9;3:1) gives f(1:1 ...
Positive: 57 %
$f'(x)=1/2x^{-1/2}= 1/18=m$ $f(x)=\sqrt{81}=9=b$, ... (x_0,y_0)$:$$y = m ... Linear approximation to$y = \sqrt{1-x} ...
The linear approximation to $f$ at $x=5 ... Ex 6.4.2 Let$\ds f(x) = \sqrt{x}$. If$a=1 ... Ex 6.4.5 Show in detail that the linear approximation of \$\sin ...