Question

Find the derivative of -9 √x +10/x⁸.

Type your answer without fractional or negative exponents.

Answer 1

To find the derivative of the given function -9 √x + 10/x⁸, we will use the power rule and the chain rule. The derivative is -9/2√x - 80/x⁹.

Step-by-step explanation:

To find the derivative of the given function, -9√x + 10/x^8, we will use the power rule and the chain rule.

The power rule states that if we have a term of the form ax^n, then its derivative is given by d/dx(ax^n) = anx^(n-1).

Applying the power rule to the first term, we get that the derivative of -9√x is -9/2√x.

For the second term, we can rewrite it as 10x^(-8) and apply the power rule to get that the derivative is -80/x^9.

Thus, the derivative of -9√x + 10/x^8 is -9/2√x - 80/x^9.