Question

Differentiate w.r.t x: (3 3 − 8 − 1) 5​

Answer 1

Answer:

your answer will come 5(3x²-2)(x³-2x-1)^4

Step-by-step explanation:

Let y=(x  3  −2x−1) ^5

Put u=x  3  −2x−1. Then y=u ^5

∴ dy/du=d/du (u^5)=5u^4

=5(x3−2x−1)4 and  du/dx = d/dx (x  3  −2x−1)

=3×2−2×1−0

=3×2−2

∴dy/dx=dy/du*du/dx

=5(x^ 3  −2x−1) ^ 4  (3x^ 2  −2)

=5(3x ^2 −2)(x^ 3  −2x−1)^4