 Multivariable Calculus homework Help at TutorEye

# Best Homework Help For Multivariable Calculus

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## Multivariable Calculus:

In multivariable calculus, we work on functions of more than one variable. It is an advanced version of single variable calculus. Here, we calculate the partial derivative, which is almost similar to derivatives of a single variable. Integrals of functions having more than one variable are also a part of multivariable calculus.

## Multivariable Calculus Sample Questions:

Question 1: For , find .

Answer: Explanation: Question 2: For , find .

Answer: Explanation: We want to find , so we are going to consider other variables as a constant.

Question 3: Find Answer: Explanation: Question 4: Find Answer: Explanation: We need to find second-order partial derivatives. Let us apply the chain rule.

Question 5: Find .

Answer: Explanation: First, we will take the partial derivative with respect to x.

Question 6: Find h’(t) if Answer: Explanation: Write an expression for Question 7: Given And, Find at t=1.

Answer: Explanation: Apply the formula: Question 8: Given And, Find at t=2.

Answer: Explanation: Apply the formula: Question 9: , . Find h’(2) if .

Answer: Explanation: Let us find .  Question 10: Given, Answer: Explanation: We know the Jacobian: 