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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 e10x can be differentiated using the chain rule.
Let u = 10xWe can differe...

ML
Answered by Meher L. Maths tutor
4179 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 the...

JT
Answered by Jim T. Maths tutor
9972 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)*3^2...

TD
Answered by Tutor65063 D. Maths tutor
3415 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 ...

DP
Answered by Daidria P. Maths tutor
3855 Views

How do I know wether to use the sine or cosine rule?

You use the cosine rule when you have been given the length of two sides and an inclusive angle (the angle in between those two lines) or if you have been given the length of three sides.You use the sine ...

DP
Answered by Daidria P. Maths tutor
8659 Views

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