Question

Differentiate the function with respect to y, where z = (A)/y⁶ + Beʸ:

Answer 1

To differentiate the function z = A/y⁶ + Beʸ with respect to y, we differentiate each term separately. The differentiated function with respect to y is -6A/y⁷ + B⋅eʸ.

Step-by-step explanation:

To differentiate the function z = A/y⁶ + Beʸ with respect to y, we need to use the rules of differentiation. Let's break down the function:

1. First term: A/y⁶
2. Second term: Beʸ

To differentiate the function, we differentiate each term separately as follows:

1. Differentiating the first term: (A/y⁶)' = -6A/y⁷
2. Differentiating the second term: (Beʸ)' = B⋅eʸ

Thus, the differentiated function with respect to y is: (A/y⁶ + Beʸ)' = -6A/y⁷ + B⋅eʸ.