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What is the derivative of x to the second power?

2x is the first derivative of x2.


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 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 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 second derivative of the square root of x to the power of 3?

3/(4*square root(x)) ....Mukesh


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 derivative of x to the second powerr?

2x is the first derivative of x2.


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

The derivative of ex is ex


What is the second derivative of square root x?

It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))


Find the second derivative for the square root of x2 - 3?

-1


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).


f(x)= – x2f′′(x)=?

The function given is (f(x) = -x^2). The second derivative of a function, denoted as (f’'(x)), measures the concavity of the function. For the function (f(x) = -x^2), the first derivative (f’(x)) is (-2x). Taking the derivative of (f’(x)) gives us the second derivative (f’‘(x)), which is (-2). So, (f’'(x) = -2). This indicates that the function (f(x) = -x^2) is concave down for all (x), because the second derivative is negative.