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Popular >

derivative of (8x^3-5x+2)^pi

Solution

derivative of

(8 x^{3} - 5 x + 2)^{π}

Solution

π (8 x^{3} - 5 x + 2)^{π - 1} (24 x^{2} - 5)

Solution steps

\frac{d}{d x} ((8 x^{3} - 5 x + 2)^{π})

Apply the chain rule:

π (8 x^{3} - 5 x + 2)^{π - 1} \frac{d}{d x} (8 x^{3} - 5 x + 2)

= π (8 x^{3} - 5 x + 2)^{π - 1} \frac{d}{d x} (8 x^{3} - 5 x + 2)

\frac{d}{d x} (8 x^{3} - 5 x + 2) = 24 x^{2} - 5

= π (8 x^{3} - 5 x + 2)^{π - 1} (24 x^{2} - 5)

Graph

Popular Examples

(dx)/(dt)+x= 1/(t+1)

\frac{d x}{d t} + x = \frac{1}{t + 1}

(\partial)/(\partial x)(cos(2x+5y+9z))

\frac{\partial}{\partial x} (cos (2 x + 5 y + 9 z))

tangent of f(x)=-sin(x),\at x=0 tangent of

f (x) = - sin (x), at x = 0

e^{x + y} y^{^{'}} = x

limit as x approaches 5+of ln(sin(x))

x \to 5 + lim (ln (sin (x)))

Frequently Asked Questions (FAQ)

What is the derivative of (8x^3-5x+2)^pi ?
The derivative of (8x^3-5x+2)^pi is pi(8x^3-5x+2)^{pi-1}(24x^2-5)
What is the first derivative of (8x^3-5x+2)^pi ?
The first derivative of (8x^3-5x+2)^pi is pi(8x^3-5x+2)^{pi-1}(24x^2-5)