Let `f: RvecR` be a differentiable function having `f(2)=6,f^(prime)(2)=1/(48)dot` Then evaluate `("lim")_(xvec2)int_6^(f(x))(4t^3)/(x-2)dt`

Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1/(48)dot Then evaluate lim_(xto2)int_6^(f(x))(4t^3)/(x-2)dt

Evaluate (lim)_(xvec4)int_4^x((4t-f(t)))/((x-4))dt

Let f:R to R be a differentiable function such that f(2)=2 . Then, the value of lim_(xrarr2) int_(2)^(f(x))(4t^3)/(x-2) dt , is

Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate: ("lim")_(xvec0)(2f(x)-3f(2x)+f(4x))/(x^2)

Let f: RvecR be a one-one onto differentiable function, such that f(2)=1a n df^(prime)(2)=3. The find the value of ((d/(dx)(f^(-1)(x))))_(x=1)

Let f: RvecR be a one-one onto differentiable function, such that f(2)=1a n df^(prime)(2)=3. The find the value of ((d/(dx)(f^(-1)(x))))_(x=1)

Let f : R to R be a differentiable function and f(1) = 4 . Then, the value of lim_(x to 1)int_(4)^(f(x))(2t)/(x-1)dt is :

If f(2)=2a n df^(prime)(2)=1, then find (lim)_(xvec2)(xf(2)-2f(x))/(x-2)

Let f: R → R be a one-one onto differentiable function, such that f(2)=1 and f^(prime)(2)=3. Then, find the value of (d/(dx)(f^(-1)(x)))_(x=1)

Let f : R to R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1/48 . If int_(6)^(f(x)) 4t^(3) dt = (x-2) g(x) than lim_( x to 2) g(x) is equal to