`Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4),` then find the value of `f^(prime)(2)`

If f(x)=e^(g(x)) and g(x)=int_(2)^(x)(tdt)/(1+t^(4)), then find the value of f'(2)

If f(x)=e^(g(x)) and g(x)=int_(2)^(x)(dt)/(1+t^(4)) then f'(2) is equal to

If f(x)=5^(g(x)) and g(x)=int_(2)^(x^(2))(t)/(ln(1+t^(2))dt) ,then find the value of f'(sqrt(2))

If f(x)=e^(g(x)) and g(x)=int_(2)^(x)(tdt)/(1+t^(4)) then f'(2) has the value equal to: a.2/17 b.0 c.1 d.(2)/(5)

f(x)=int_1^x(tan^(-1)(t))/t dt , x in R^+, then find the value of f(e^2)-f(1/(e^2))

Iff(x)=int_((x^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta))dtheta, then find the value of f^(prime)(pi/2)dot

f(x)=int_(1)^(x)(tan^(-1)(t))/(t)dt,x in R^(+), then find the value of f(e^(2))-f((1)/(e^(2)))

If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then find the value of (lim)_(xvec0)(((dy)/(dz)))/x

If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then find the value of (lim)_(xvec0)(((dy)/(dz)))/x

Iff(x)=int_((x^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta))d theta, then find the value of f^(prime)(pi/2)dot