 Hello friends welcome to the session I am Malka, let us discuss the question that is differentiated with respect to x, the function in exercise is 1 to 11, our given function is sin x minus cos x to the power sin x minus cos x, where y by 4 is less than x is less than 3 pi by 4. Now let us start with the solution, let y equal to sin x minus cos x to the power sin x minus cos x. Now taking log of both the sides we get log y equal to sin x minus cos x log of sin x minus cos x. Now we differentiate both sides with respect to x, differentiate both sides respect to x we get 1 upon y into dy by dx equal to sin x minus cos x into 1 upon sin x minus cos x into dy by dx of sin x minus cos x plus log of sin x minus cos x into dy dx of sin x minus cos x, this implies 1 upon y dy by dx equal to sin x minus cos x upon sin x minus cos x into cos x plus sin x plus log sin x minus cos x into cos x plus sin x, here we see that sin x minus cos x will cancel out with sin x minus cos x and this implies 1 upon y dy by dx equal to, now we will take sin x plus cos x common, this will give us 1 plus log sin x minus cos x, this implies dy by dx equal to y into sin x plus cos x into 1 plus log of sin x minus cos x, this implies dy by dx equal to, now we will substitute the value of y which is sin x minus cos x to the power sin x minus cos x into sin x plus cos x into log of sin x minus cos x plus 1, now this implies that dy by dx equal to sin x minus cos x to the power sin x minus cos x into sin x plus cos x into log of sin x minus cos x plus 1, where sin x is greater than cos x, so this is the required solution, hope you understood it and enjoyed the session, goodbye and take care.