Derivative of an Inverse at Zero
Difficulty: Hard · Topics: Calculus, Inverse Functions, Fundamental Theorem of Calculus
Teskari funksiyaning noldagi hosilasi
The function is given as ≤ft(0<a<√(π)/(2) )
f(x)=∫ a^x≤ft(2+sin(t^2) )dt
When f''(a)=√3 a, find (f^-1)'(0).
Funksiya quyidagicha berilgan ≤ft(0<a<√(π)/(2) ):
f(x)=∫ a^x≤ft(2+sin(t^2) )dt
f''(a)=√3 a bo‘lganda (f^-1)'(0) ni toping.