Step 2: Recognize that we need to use the chain rule to find dy/dx.
Step 3: The chain rule states that if you have a function of a function, you take the derivative of the outer function and multiply it by the derivative of the inner function.
Step 4: The outer function is u^3 where u = (2x + 1). The derivative of u^3 is 3u^2.
Step 5: Now, find the derivative of the inner function u = (2x + 1). The derivative of (2x + 1) is 2.
Step 6: Combine the results from Step 4 and Step 5: dy/dx = 3(2x + 1)^2 * 2.
Step 7: Simplify the expression: dy/dx = 6(2x + 1)^2.
Chain Rule – The chain rule is a fundamental differentiation technique used to differentiate composite functions.
Power Rule – The power rule is used to differentiate functions of the form x^n, where n is a constant.
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