Find the indicated derivative.
-Find $f_{z} f(x, y, z)=6 x^{8} y^{3}+8 x^{5} z^{7}+6 y^{4}$
A) $8 x^{5}$
B) $280 x^{4} z^{6}$
C) $56 x^{5} z^{6}$
D) $7 z^{6}$

Name: Find the indicated derivative. -Find $f_{z} f(x, y, z)=6 x^{8} y^{3}+8 x^{5} z^{7}+6 y^{4}$ A) $8 x^{5}$ B) $280 x^{4} z^{6}$ C) $56 x^{5} z^{6}$ D) $7 z^{6}$
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Question

Quizplus · Accepted Answer

The partial derivative of $f$ with respect to $z$ is found by differentiating only the terms involving $z$. The term $8 x^{5} z^{7}$ differentiates to $56 x^{5} z^{6}$.

Find the Indicated Derivative fzf(x,y,z)=6x8y3+8x5z7+6y4f_{z} f(x, y, z)=6 x^{8} y^{3}+8 x^{5} z^{7}+6 y^{4}fz​f(x,y,z)=6x8y3+8x5z7+6y4

Find the Indicated Derivative $f_{z} f(x, y, z)=6 x^{8} y^{3}+8 x^{5} z^{7}+6 y^{4}$