Question

Find $f_x$. 57) $f(x, y) = y ln(8x + 4y)$ A) $f_x(x, y) = y ln(8x + 4y)$ B) $f_x(x, y) = frac{8xy}{8x + 4y}$ C) $f_x(x, y) = ln(8x + 4y) + frac{8}{8x + 4y}$ D) $f_x(x, y) = frac{8y}{8x + 4y}$ 58) $f(x, y) = e^{5xy}$ A) $f_x(x, y) = 5(x + y)e^{5xy}$ B) $f_x(x, y) = 5ye^{5xy}$ C) $f_x(x, y) = 5xye^{5xy}$ D) $f_x(x, y) = 5e^{5xy}$ 59) $f(x, y) = frac{4x}{y} - frac{y}{4x}$ A) $f_x(x, y) = -frac{4}{y^2} - frac{4}{y}$ B) $f_x(x, y) = frac{4x^2}{y} + frac{y}{4x^2}$ C) $f_x(x, y) = frac{4}{y} + frac{y}{4x^2}$ D) $f_x(x, y) = frac{4}{y} - frac{y}{4x^2}$

          Find $f_x$.
57) $f(x, y) = y ln(8x + 4y)$
A) $f_x(x, y) = y ln(8x + 4y)$
B) $f_x(x, y) = frac{8xy}{8x + 4y}$
C) $f_x(x, y) = ln(8x + 4y) + frac{8}{8x + 4y}$
D) $f_x(x, y) = frac{8y}{8x + 4y}$
58) $f(x, y) = e^{5xy}$
A) $f_x(x, y) = 5(x + y)e^{5xy}$
B) $f_x(x, y) = 5ye^{5xy}$
C) $f_x(x, y) = 5xye^{5xy}$
D) $f_x(x, y) = 5e^{5xy}$
59) $f(x, y) = frac{4x}{y} - frac{y}{4x}$
A) $f_x(x, y) = -frac{4}{y^2} - frac{4}{y}$
B) $f_x(x, y) = frac{4x^2}{y} + frac{y}{4x^2}$
C) $f_x(x, y) = frac{4}{y} + frac{y}{4x^2}$
D) $f_x(x, y) = frac{4}{y} - frac{y}{4x^2}$

$Find fx. 57) f(x, y) = y ln(8x + 4y) A) fx(x, y) = y ln(8x + 4y) B) fx(x, y) = frac8xy8x + 4y C) fx(x, y) = ln(8x + 4y) + frac88x + 4y D) fx(x, y) = frac8y8x + 4y 58) f(x, y) = e^5xy A) fx(x, y) = 5(x + y)e^5xy B) fx(x, y) = 5ye^5xy C) fx(x, y) = 5xye^5xy D) fx(x, y) = 5e^5xy 59) f(x, y) = frac4xy - fracy4x A) fx(x, y) = -frac4y^2 - frac4y B) fx(x, y) = frac4x^2y + fracy4x^2 C) fx(x, y) = frac4y + fracy4x^2 D) fx(x, y) = frac4y - fracy4x^2$

Added by Irene S.

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