Theorems · Theorem · special functions
HasDerivAt.exp
∀ {f : ℝ → ℝ} {f' x : ℝ}, HasDerivAt f f' x → HasDerivAt (fun x => Real.exp (f x)) (Real.exp (f x) * f') x- Cited by
- 8 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.expstatement · cited by 871
- HasDerivAtstatement and proof · cited by 493
- HasDerivAt.compproof · cited by 43
- Real.hasDerivAt_expproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- deriv_expproof · cited by 3
- expNegInvGlue.hasDerivAt_polynomial_eval_inv_mulproof · cited by 2
- exp_neg_integrableOn_Ioiproof · cited by 2
- Complex.partialGamma_add_oneproof · cited by 1
- hasDerivAt_gronwallBoundproof · cited by 1
- Real.hasDerivAt_mulExpNegMulSqproof · cited by 1
- Real.hasDerivAt_sigmoidproof · cited by 1
- ProbabilityTheory.hasDerivAt_neg_exp_mul_expproof · cited by 1