Q2 of 147 Page 191

Differentiate w.r.t. x the function

sin3 x + cos6 x

Let y = sin3 x + cos6 x

Differentiating both sides with respect to x


∴ ∵ ]



= 3 sin2 x × cos x + 6 cos5 x × ( – sin x)


= 3 sinx cosx (sinx– 2 cos4 x)


∴ = 3 sinx cosx (sinx– 2 cos4 x)


More from this chapter

All 147 →
6

Examine the applicability of Mean Value Theorem for all three functions given in the above exercise 2.

 1

Differentiate w.r.t. x the function

(3x2 – 9x + 5)9

 3

Differentiate w.r.t. x the function

(5x)3cos 2x

 4

Differentiate w.r.t. x the function