The derivative of a constant is .The derivative of the nth power of a variable is the product of __________and the ______power of the variable.The derivative of a sum of a finite number of differentiable functions is a sum of the derivatives, and the derivative of the ______equals the difference of the derivatives.The derivative of a product of two functions is the first function times the of the second plus the second function times the derivative of the first.The derivative of a of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator divided by the denominator squared.Expressions written in form can be converted to logarithmic function and vice versa.Derivative of Logarithmic Function: (log? ?) = _The most widely used trigonometric functions in modern mathematics are the ______, the ____, and the ________. Their reciprocals are the cosecant, the secant, and the cotangent, respectively.??(sec ?) = 10.??(cot ?) = _ _

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Answered: The derivative of a constant is

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The derivative of a constant is .
The derivative of the nth power of a variable is the product of __________and the ______power of the variable.
The derivative of a sum of a finite number of differentiable functions is a sum of the derivatives, and the derivative of the ______equals the difference of the derivatives.
The derivative of a product of two functions is the first function times the

of the second plus the second function times the derivative of the first.

The derivative of a of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator divided by the denominator squared.
Expressions written in form can be converted to logarithmic function and vice versa.
Derivative of Logarithmic Function:

(log_? ?) = _

The most widely used trigonometric functions in modern mathematics are the ______,

the ____, and the ________. Their reciprocals are the cosecant, the

secant, and the cotangent, respectively.

?_?(sec ?) =

10.?_?(cot ?) = _ _

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