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This is true because of power rule.

d/dx (x^a)=a(x^(a-1))

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βˆ™ 14y ago
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βˆ™ 16y ago

derivative is: ln(pi)pix dx

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Q: What is the derivative of pi raised to x?
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What is the derivative of pi squared raised to the x?

f(x)=(pi2)x=pi2x. The derivative of kx=ln(k)*kx, so f'(x)=2ln(pi)*pi2x (with chain rule).

What is the derivative of sinΟ€x?

The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)

What is the derivative of sin pi x?

pi cos(pi x)

What is the antiderivative of pi?

The anti-derivative of any constant c, is just c*x. Thus, the antiderivative of pi is pi*x. We can verify this by taking the derivative of pi*x, which gives us pi.

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 antiderivative of x raised to the pi power?


What is the derivative of cos pi x?


What is the derivative of sine of pi?

Sine (pi) is a constant, so the derivative of sine (pi) is zero.

Can you use the equation given below to find the second derivative of pi divided by 6 if fx equals cscx?

pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!

What is the derivative of sin x power 0?

I think you are asking "what is the derivative of [sin(x)]^0=sin^0(x)?" and I shall answer this accordingly. Recall that x^0 = 1 whenever x is not 0. On the other hand, also notice that 0^0 is generally left undefined. Thus, sin^0(x) is the function f(x) such that f(x) is undefined when x = n(pi) and 1 everywhere else. As a result, on every open interval not containing a multiple of pi, i.e. on (n(pi), (n+1)(pi)) the derivative will be zero, since f is just a constant function on these intervals, and whenever x is a multiple of pi, the derivative at x will be undefined. Thus, [d/dx]sin^0(x) is undefined whenever x = n(pi) and 0 everywhere else. In some cases, mathematicians define 0^0 to be 1, and if we were to use this convention, sin^0(x) = 1 for all x, and its derivative would just be 0.

What is 6 x pi to the power 5?

mass of proton is 6 x pi raised to power 5 times mass of electron

What is the general formula for nth derivative of f equals sinx?

The first deriviative of sin(x) is cos(x), which is also sin(x + pi/2). The general formula, then for the nth deriviative of sin(x) is sin(x + n pi/2).