1. Ha#TH y' H y'' 1.26. x^3+y^3=5x

Question

Answer 1

To find the first and second derivatives of the given equation

, we need to implicitly differentiate with respect to

.First, let's differentiate both sides of the equation with respect to

:

Using the chain rule on the left side, we get:

Now, we can solve for

:

So, the first derivative

is

.Next, let's find the second derivative

. We need to differentiate

with respect to

:

Using the quotient rule for differentiation, we get:

Simplifying the expression, we have:

So, the second derivative

is

.In summary, the first derivative

is

and the second derivative

is

.

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