Question

What is the answers to these questions?
dy=?dx
dy=?

Answer 1

dy = 6x(x²+9)²dx

dy = 291.6

Explanation:

We need to use both the power rule and the chain rule to differentiate this function

The power rule states that
`x^(n) = nx^(n-1)`

The chain rule states that f(g(x)) = f'(g(x)) * g'(x)

For this equation, f(x) = x³ and g(x) = x²+9

Using these two formulas results in the equation:

dy = 6x(x²+9)²dx

Substituting our given values in results in the following answer:

(6(3) * (3²+9)² )(0.05) = 291.6