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Home > CALC > Chapter 5 > Lesson 5.3.1 > Problem 5-112

5-112.
  1. Differentiate the functions. Homework Help ✎

    1. y = tan(x2 + 3)

    2. y = 5(x − 3)8

    3. y = x tan(x2 + 3)

Do NOT use the quotient rule (though it will work). This is a Power Rule problem: y = −2x−3. Reserve the Quotient Rule for situations in which there are variables in BOTH the numerator and the denominator.

Chain Rule.

This is not technically a Chain Rule problem, though you may use it.

This calls for the Quotient Rule.

Product Rule & Chain Rule combined.

Refer to the hint in part (a). And recall that the reciprocal of cosx is secx.