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Find the 25th derivative of the function f(x)=6sin(x).
f(25)(x)=
You can use a shortcut to determine a higher-order derivative of a sine function by recognizing the cyclic pattern that repeats every four derivatives. To use the shortcut, begin by dividing the order of the derivative by 4. If the remainder is 0, the derivative returns to the original function. If the remainder is 1, the derivative progresses to the next function in cycle. If the remainder is 2, the derivative is the negative of the original function. If the remainder is 3, the derivative is the negative of the next function in the cycle.
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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
6cos(x)