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Let f : [−π/2,π/2]→R be a differentiable function such that f ( 0 ) = 1/2 ..then 8𝛼² is equal to :

Let f : [(-π)/( 2),π/2]→R be a differentiable function such that f(0) = 1/2 , If lim┬(x→0)⁡〖(x∫_0

Let f:[-π/2,π/2]→R be a differentiable function such that f(0)=1/2, If lim(x→0) x ∫₀(^x) f(t) dt /

Let f:R-R be a differentiable function such that f(pi/4)=root2,f(pi/2)=0&f’(pi/2)=1&let g(x)=[f’(t)

Let f:[−π/2,π/2]→R be a differentiable function such that f(0)=12, If thelimx→0x∫x0f(t)dt/e^x^2−1=α,

Let \( f \) be a differentiable function in \( (0, \pi / 2) \). If \( \int_{\cos x}^{1} t^{2} f(...

Non-differentiability

Let f:R-R Bebe a differentiable function such that f(pi/4)=root2, f(pi/2)=0&f’(pi/2)=1and let g(x)=