Question

z= x⁴sin(xy³) ആയാൽ ∂z/∂x കണ്ടുപിടിക്കുക.

• A. ∂z/∂x = x⁴y³ . cos(xy³) - 4x³. sin(xy³)
• B. ∂z/∂x = x⁴y³ . cos(xy³) + 4x³. sin(xy³)
• C. ∂z/∂x = x⁴y³ . cos(xy³)
• D. ∂z/∂x =4x³. sin(xy³)

Answer 1

Answer:

B. ∂z/∂x = x⁴y³ . cos(xy³) + 4x³. sin(xy³)

z= x⁴sin(xy³) ∂z/∂x =x⁴ . cos(xy³) . y³ + sin(xy³) . 3x³ = x⁴y³ . cos(xy³) + 4x³. sin(xy³)