5. a) Find the first order derivative of the following function. y x° In x

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

A: We use the chain rule for differentiation. The typeset solution in latex is presented as the next…

Q: Use definition to find derivative of the following function at z = 3 – 2i.

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Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: Let g(u) = 8u +4 Determine the derivative of g.

A: The given function is,

Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

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Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: Find the derivative of the following function. 3 f(w) = 9w° + 6w + 7w

A: Given,          f(w)=9w5 + 6w3 +7w

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

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Q: Find the derivative of y with respect to the independent variable. у- (In 100)*

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Q: y=etan 3x

A: We find the derivative of y=etan(3x).

Q: The graph represents the derivative f' of some function f. Use the given graph of f' to sketch a…

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Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: a. Find the direction in which the function increase and decrease most rapidly at point Po. Then…

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Q: · f(x) = e2x*-3z 2r4. %3D 4–3x

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: