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Differentiate the following with respect to x: e^(10x) + ln(6x+2)

We can differentiate the terms separately: The first term e 10x can be differentiated using the chain rule. Let u = 10xWe can differentiate to get du/dx = 10 Differentiating e u with respect to u gives us d/...
ML
Answered by Meher L. • Maths tutor
4583 Views

integrate 1/(x^2+4x+13)

The first step is to notice that this is a standard integral in the form of 1/(x^2+a^2). In order to reach this form, we must first complete the square. Then we have 1/(x+2)^2-4+13=1/(x+2)^2+9. We can then u...
JT
Answered by Jim T. • Maths tutor
10933 Views

The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?

Use the chain rule to differentiate the original equation: this results in 8x-3y^2*(dy/dx) + 2ln(3) 3^2x=0. This can be rearranged to find dy/dx as a function of y and x: 3y^2 (dy/dx)=8x+2ln(3)*3^2x -> dy...
TD
Answered by Tutor65063 D. • Maths tutor
3754 Views

How do I find the stationary points of a curve?

To find the stationary points of a curve y, you should first find the differential of the curve(dy/dx).Once you have an equation for dy/dx, you should solve it for when dy/dx is equal to zero. This gives you...
DP
Answered by Daidria P. • Maths tutor
4264 Views

Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.

>>> 2x+5=3x^2 >>> 3x^2-2x-5=0>>> (3x-5)(x+1)=0>>> x=-1 or x=5/3>>> therefore (-1,3) and (5/3,25/3)
BO
Answered by BUSE O. • Maths tutor
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