Q3 of 147 Page 191

Differentiate w.r.t. x the function
(5x)^{3cos 2x}

Let y = (5x)^{3cos 2x}

Then log y = log (5x)^{3cos 2x}

⇒ log y = 3cox 2x × log 5x

Differentiating both sides with respect to x, we get

[∵ ]

⇒

∴

Differentiate w.r.t. x the function

(3x² – 9x + 5)⁹

Differentiate w.r.t. x the function

sin³ x + cos⁶ x

Differentiate w.r.t. x the function

Differentiate w.r.t. x the function(5x)3cos 2x