3. Consider the function where x = (a) (b) (1 – y) −¹. z = x² - e5xy + y √1. +1³, Find the partial derivative of z with respect to y. Find the total derivative of z with respect to y, dz/dy.

Q: f(x, y, z) = x – Vy² + z

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Q: 2. Prove that n=1 n -x converges uniformly on S = (√2, ∞o).

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Q: 2. Find the gradient of the function f(x, y) = ln(x² + y²) at the point(1, 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

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Q: Let u(t)=6t3i+t2−4j−5k and v(t)=eti+9e−tj−e9tk. Compute the derivative of the following function.…

A: solve the following