Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given that f(−7,−2)=−2, use this information to estimate the value of f(−6,−1). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation.

Step-by-step explanation:

We are given the following in the question:

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

Now, putting values, we get,

is the required value.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,