If f(x)=b e^ a x +a e^ b x , then f^ (0) is equal to

Step-by-step solution

Given, f(x)=b e^ a x +a e^ b x On differentiating w.r.t. x , we get f^ (x)=a b e^ a x +a b e^ b x Again, differentiating, we get aligned f ^ ( x ) &= a ² b e ^ ax + ab ² e ^ bx f ^ (0) &= a ² ~b + ab ² &= ab ( a + b ) aligned