If `f(x)=log{(u(x))/(v(x))},\ u(1)=v(1)` and `u^(prime)(1)=v^(prime)(1)=2` , then find the value of `f^(prime)(1)` .

If f(x)=log{(u(x))/(v(x))},u(1)=v(1) and u'(1)=v'(1)=2, then find the value of f'(1) .

If f(x)=(u)/(v) then f'(x)=(1)/(v^(3))

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

Let u(x) a n dv(x) be differentiable functions such that (u(x))/(v(x))=7. (u^(prime)(x))/(v^(prime)(x))=pa n d((u(x))/(v(x)))'=q ,t h e n(p+q)/(p-q) has the value of to 1 (b) 0 (c) 7 (d) -7

The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime)(x^2) for all real xdot Given that f(1)=1 and f^(1)=8 , then the value of f^(prime)(1)+f^(1) is 2 b. 4 c. 6 d. 8

The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime)(x^2) for all real xdot Given that f(1)=1 and f^(1)=8 , then the value of f^(prime)(1)+f^(1) is 2 b. 4 c. 6 d. 8

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7 If (u^(prime)(x))/(v^(prime)(x))=p and ((u(x))/(v(x)))^'=q ,then (p+q)/(p-q) has the value (a) 1 (b) 0 (c) 7 (d) -7

If f(x)=|(log)_(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=-(log)_(10)e

A function f: Rvec[1,oo) satisfies the equation f(x y)=f(x)f(y)-f(x)-f(y)+2. If differentiable on R-{0}a n df(2)=5,f^(prime)(x)=(f(x)-1)/xdotlambdat h e nlambda= 2^(prime)f(1) b. 3f^(prime)(1) c. 1/2f^(prime)(1) d. f^(prime)(1)