To find the derivative of the function y = 3(x^3 + 8x^2 - x)^35, we will use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 1: Identify the outer and inner functions.
In this case, the outer function is f(u) = 3u^35 and the inner function is g(x) = x^3 + 8x^2 - x.

Step 2: Find the derivative of the outer function.

Question

To find the derivative of the function y = 3(x^3 + 8x^2 - x)^35, we will use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 1: Identify the outer and inner functions.
In this case, the outer function is f(u) = 3u^35 and the inner function is g(x) = x^3 + 8x^2 - x.

Step 2: Find the derivative of the outer function.

Knowee AI · Accepted Answer

To find the derivative of the function y = 3(x^3 + 8x^2 - x)^35, we will use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 1: Identify the outer and inner functions.
In this case, the outer function is f(u) = 3u^35 and the inner function is g(x) = x^3 + 8x^2 - x.

Step 2: Find the derivative of the outer function.

Find the derivative of the following function.𝑦=3(𝑥3+8𝑥2−𝑥)35

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