# Calculus: Applications of Differentiation - How Derivatives Affect the Shape of a Graph #1

# Questions

## Question 1

Consider the following. (If an answer does not exist, enter DNE.)

\[f(x) = 7\sin{x} + 7\cos{x}, \text{ } 0 \leq x \leq 2\pi\](a) Find the interval on which \(f\) is increasing. (Enter your answer using interval notation.)

(b) Find the interval on which \(f\) is decreasing. (Enter your answer using interval notation.)

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