Find dy/dx y=(4x-5)^2

Problem

d()/d(x)*(4*x−5)^2

Solution

1. Identify the rule needed to differentiate the expression, which is the chain rule for a function of the form u^n

2. Apply the power rule to the outer function by bringing the exponent 2 to the front and decreasing the power by 1

3. Apply the chain rule by multiplying the result by the derivative of the inner function, 4*x−5

4. Differentiate the inner function, where (d(4)*x−5)/d(x)=4

5. Simplify the expression by multiplying the constants 2 and 4

Final Answer

d(y)/d(x)=8*(4*x−5)

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