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Find the derivative of the function `y=sin^7 (3x+5)`.
`dy/(dx)=`
This problem involves differentiating a composite function with a trigonometric function raised to a power. Remember the chain rule and how it applies when you have a function raised to a power. Also, recall the derivatives of basic trigonometric functions, as you'll need to apply these in combination with the power rule.
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Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`21 sin^6 (3x+5) cos (3x+5)`