f(x,y,z)= xy²z +x² yz? – sin xy + cos yz Which of the following is the first-order derivative of the function with respect to z? O A) 2xy² + 2x²yz – yx sin yz – x cos yz B) xy + 4x yz? - y sin yz + sin xy O C) xy'z + 6x² yz' – ysin yz – cos yz O D) xy? + 2x² yz – y sin yz OE) xy'z +x²yz – y sin yz + sin xy

Q: Exercises Determine the derivative of the following:- 1) y = (1 + x³) sin x 2) y = (sin x + cos x)…

A: Note:As per Bartleby guidelines we are supposed to answer only3 sub-parts (if there are multiple…

Q: Find the derivative of y with respect to 0 y = 8e°(sin e - cos €) O 16e° sin e 8e (sin e - cos 0) +…

A: Given. We are given function of Y and theta and we need to find the function dY/d theta The concept…

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Q: If f(x) is a function of x, what is the derivative of f(sin(x))? f'(x) cos(f(x)) f'(x) cos(f'(x))…

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Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: Find the derivative of y. 30) y- In (sinh 9x) 1. B) sinh 9x A) coth 9x C) 9 csch 9x D) 9 coth 9x

A: Derivative

Q: 5. Use implicit differentiation to find y'. a) хеУ 3 х — у

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the direction 0 in which the directional derivative of the function f(x, y) = æy+ y² at the…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.