Section 16404 defines the duties partners owe each other, and it defines them narrowly on purpose. Subdivision (a) says the fiduciary duties a partner owes to the partnership and the other partners are the duty of loyalty and the duty of care set out in subdivisions (b) and (c) — a closed statement rather than an open-ended standard.
The duty of loyalty has three components. To account to the partnership and hold as trustee for it any property, profit or benefit derived by the partner in the conduct or winding up of the business, or derived from a use by the partner of partnership property or information, including the appropriation of a partnership opportunity. To refrain from dealing with the partnership, in the conduct or winding up of the business, as or on behalf of a party having an interest adverse to it. And to refrain from competing with the partnership in the conduct of its business before dissolution. The third is the one that decides most disputes about a partner's side venture, and note its time limit: the duty not to compete runs before dissolution, and § 16603 terminates it on the partner's dissociation.
The duty of care in subdivision (c) is deliberately low: it is limited to refraining from grossly negligent or reckless conduct, intentional misconduct, or a knowing violation of law. Ordinary carelessness by a partner is not a breach. Subdivision (d) adds an overarching obligation of good faith and fair dealing in discharging duties and exercising rights, and subdivision (e) makes clear that a partner does not violate a duty merely because their conduct furthers their own interest. Subdivision (f) allows a partner to lend money to and transact business with the partnership on the same footing as a non-partner. Whether particular conduct — a diverted opportunity, a competing venture, money taken from the account — breaches subdivision (b) is a fact-heavy question for a lawyer.