Question

find the derivatives of sin5X.logX(class 11 mathematics)​

Answer 1

Answer:

1/x.sin5x + 5. logx cos 5x

Step-by-step explanation:

sin5x.logx

Using formula d/dx(a.b) = a (d/dx)b +b (d/dx)a

Now, the equation becomes

sin5x (d/dx) logx + logx (d/dx) sin 5x

sin5x. 1/x + logx. 5 cos5x

1/x. sin5x + 5. logx.cos5x