   Chapter 14.3, Problem 35E

Chapter
Section
Textbook Problem

Find the first partial derivatives of the function.35. p = t 4 + u 2 cos   v

To determine

To find: The first order partial derivatives of the function p=t4+u2cosv .

Explanation

Formula used:

If p=f(t,u,v) , then the partial derivative functions are,

ft(t,u,v)=ft=tf(t,u,v)fu(t,u,v)=fu=uf(t,u,v)fv(t,u,v)=fv=vf(t,u,v)

Calculation:

The given function is, p=t4+u2cosv (1)

Take the partial derivative with respect to t for the equation (1),

pt=t(t4+u2cosv)=12(t4+u2cosv)12(4t3)=2t3t4+u2cosv

Take the partial derivative with respect to u for the equation (1),

pu=u(t4

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 8596 radical form. 0.2x2/3+37x1/2

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 3540, rationalize the numerator of each expression. 40. x+3x3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Problem 18 and 19, determine whether each graph represents as a function of .

Mathematical Applications for the Management, Life, and Social Sciences

Self Check Graph: 4x2+9y28x+36y=4.

College Algebra (MindTap Course List) 