Mar
Tue
16
y = sin^4(9x^2)
and
y = (5 - 8x^2)^4(x^7 + 3)^3
dy/dx = 4sin³(9x²) * d/dx sin(9x²)
= 4sin³(9x²) *cos(9x²) * d/dx (9x²)
= 4sin³(9x²) *cos(9x²) * 18x
= 72xsin³(9x²) cos(9x²)
or
= 36xsin²(9x²)sin(18x²)
and
y = (5 - 8x²)⁴(x^7 + 3)³
dy/dx = 4(5 - 8x²)³ * d/dx (5 - 8x²) * 3(x^7 + 3)² * d/dx (x^7 + 3)
= 4(5 - 8x²)³ * -16x * 3(x^7 + 3)² * 7x^6
= -1344x^7 (5 - 8x²)³ (x^7 + 3)²
y = sin^4(9x^2)
y' = 4sin^3 (9x^2) [cos(9x^2) * (18x)
y' = 72x sin^3 (9x^2) cos (9x^2)
Thank you for minding my answer. I hope that you would follow
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