How to solve
The sine-cosine derivative cycle: d/dx sin x = cos x and d/dx cos x = −sin x. Coefficients ride along.
Steps
- Differentiate each term.
- a sin x → a cos x.
- b cos x → −b sin x — the sign flips.
Example
d/dx of 3 sin x − 2 cos x
- 3 sin x → 3 cos x.
- −2 cos x → +2 sin x.
Answer: 3cos(x)+2sin(x)
How to type answers
- Write it like 3cos(x)+2sin(x)
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