Best Answer

x5lnx?

d/dx (uv)=u*dv/dx+v*du/dx

d/dx (x5lnx)=x5*[d/dx(lnx)]+lnx*[d/dx(x5)]

-The derivative of lnx is:

d/dx(lnu)=(1/u)*[d/dx(u)]

d/dx(lnx)=(1/x)*[d/dx(x)]

d/dx(lnx)=(1/x)*[1]

d/dx(lnx)=(1/x)

-The derivative of x5 is:

d/dx (xn)=nxn-1

d/dx (x5)=5x5-1

d/dx (x5)=5x4

d/dx (x5lnx)=x5*[1/x]+lnx*[5x4]

d/dx (x5lnx)=[x5/x]+5x4lnx

d/dx (x5lnx)=x4+5x4lnx

Q: What is the derivative of x5lnx?

Write your answer...

Submit

Still have questions?

Continue Learning about Calculus

A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular

The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)

the derivative is 0. the derivative of a constant is always 0.

Derivative of 4x is 4.

The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.

Related questions

"Derivative of"

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.

Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.

A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular

The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)

Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x

The derivative of xe is e. The derivative of xe is exe-1.

The derivative of 40 is zero. The derivative of any constant is zero.

the derivative is 0. the derivative of a constant is always 0.

The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2

Derivative of 4x is 4.