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(x23)'=23x22 Generally, (xn)'=n*xn-1

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16y ago

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What is the first derivative of e raised to the power of x?

The first derivative of e to the x power is e to the power of x.


What is the derivative of x to the second power?

2x is the first derivative of x2.


What is the derivative of x?

The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.


What is the third derivative of lnx?

Oh, dude, the third derivative of ln(x) is -2/(x^3). But like, who really needs to know that, right? I mean, unless you're planning on impressing your calculus teacher or something. Just remember, math is like a puzzle, except no one actually wants to put it together.


What is the second derivative of x to the fourth power?

d/dx(X^4) = 4X^3 ( first derivative ) d/dx(4X^3) = 12X^2 ( second derivative )


What is the derivative of e to the power of x?

The derivative of ex is ex


What is the derivative for x to the power of 0?

x^0 = 1 for all x. The derivative of 1 is always zero.


What is the second derivitive of sec x?

Write sec x as a function of sines and cosines (in this case, sec x = 1 / cos x). Then use the division formula to take the first derivative. Take the derivative of the first derivative to get the second derivative. Reminder: the derivative of sin x is cos x; the derivative of cos x is - sin x.


What is the 4th derivative of lnx?

The fourth derivative of ( \ln(x) ) can be determined by first calculating its derivatives. The first derivative is ( \frac{1}{x} ), the second derivative is ( -\frac{1}{x^2} ), the third derivative is ( \frac{2}{x^3} ), and the fourth derivative is ( -\frac{6}{x^4} ). Thus, the fourth derivative of ( \ln(x) ) is ( -\frac{6}{x^4} ).


What is the derivative of e to the power of -2 times x?

e^(-2x) * -2 The derivative of e^F(x) is e^F(x) times the derivative of F(x)


Proof of the derivative of the cosecant function?

Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).


What is the derivative x to the second power?

2x

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