If `f^(prime)(k)=l ,t h e nl=` 0 (b) `4/5` (c) `pi/2` (d) `(16)/5`

If f'(k)=l, then l=0 (b) (4)/(5)(c)(pi)/(2)(d)(16)/(5)

Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , where k is some constant. If h(0)=5,h^(prime)(0)=-2,a n df^(prime)(0)=18 , then the value of k is (a)5 (b) 4 (c) 3 (d) 2.2.

Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , where k is some constant. If h(0)=5,h^(prime)(0)=-2,a n df^(prime)(0)=18 , then the value of k is 5 (b) 4 (c) 3 (d) 2.2.

Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , where k is some constant. If h(0)=5,h^(prime)(0)=-2,a n df^(prime)(0)=18 , then the value of k is (a)5 (b) 4 (c) 3 (d) 2.2.

Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , where k is some constant. If h(0)=5,h^(prime)(0)=-2,a n df^(prime)(0)=18 , then the value of k is (a)5 (b) 4 (c) 3 (d) 2.2.

Comprehension (for Q.No.1 to 3) Let f(x)=sin^(-1)(1-x^(2))/(1+x^(2))+tan^(-1)(2x)/(1-x^(2)). Then If f'(-2)=k, then k=0( b) (4)/(5)(c)(pi)/(2)(d)(16)/(5)

If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a) 11-(7pi)/2 (b) (7pi)/2-11 (c) (5pi)/2-11 (d) none of these

Let f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s (a)log 2 (b) log 7 (c) log 11 (d) log 13

If f^(prime)(a)=1/4, t h e n(lim)_(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3-h^2)-f(a-h^3+h^2))= 0 b. 1 c. -2 d. none of these

If f(1)=3,f^(prime)(1)=2,f''(1)=4,t h e n f^(-1)(3)= a. 1 b. -1/2 c. -2 d. none of these