यदि `f(t)=e^(t)` और `varphi(t)=log_(e)t` तो सिद्ध करें कि `f{varphi(t)}=varphi{f(t)}`.

Let int e^(x){f(x)-f'(x)}dx=varphi(x) .Then int e^(x)f(x)dx is varphi(x)=

If cos(theta+phi)=mcos(theta-phi) ,then tantheta is equal to a. ((1+m)/(1-m))t a n\ varphi b. ((1-m)/(1+m))t a n\ varphi c. ((1-m)/(1+m))cot\ varphi d. ((1+m)/(1-m))cot\ varphi

If f(x)=|x-a|varphi(x) , where \ varphi(x) is continuous function, then f'(a^+)=varphi(a) (b) f^(prime)(a^-)=-varphi(a) (c) f^(prime)(a^+)=f'(a^-) (d) none of these

If f(t)=t^(2)+2 and g(t)= (1//t) +2 , then for t=2, f[g(t)] -g[f(t)]= ?

If sintheta=5sin(theta+varphi),t h e ntan(theta+varphi)= (sinvarphi)/(cosvarphi-3) b. (sinvarphi)/(cosvarphi+3) c. (sinvarphi)/(cosvarphi-5) d. (cosvarphi)/(sinvarphi+5)

If x=varphi(t), y=psi(t),t h e n(d^2 y)/(dx^2) is (a) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^2) (b) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^3) (c) varphi^('')/psi^('') (d) psi^('')/varphi^('')

If x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2) is (varphi^(prime)psi^-psi'varphi' ')/((varphi^(prime))^2) (b) (varphi^(prime)psi^-psi'varphi' ')/((varphi^(prime))^3) varphi^(/)psi^ (d) psi^(/)varphi^

If f(t)=(1-t)/(1+t) then the value of f'(1/t) is

If x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2) is (a) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^2) (b) (varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^3) (c) varphi^('')/psi^('') (d) psi^('')/varphi^('')