If x2 + y2 = 25, what is the value of
at the point (4,3)?
o a. -25/27
ob.-7/27
oc. 7/27
d. 3/4
oe. 25/27

A. -25/27

Step-by-step explanation:

Given:

The equation is given as:

To find: at (4, 3)

Differentiating the above equation with respect to 'x', we get:

Value of at (4,3) is given as:

Now, differentiating equation (1) with respect to 'x' again, we get:

Now, value of at (4,3) is given as by plugging 4 for 'x', 3 for 'y' and for

Therefore, the value of the second derivative at (4, 3) is option (A) which is equal to -25/27.

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