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Integrate the function (3x+4)^2 using methods of expansion and substitution

For expansion:(3x+4)²=9x²+24x+16, go through expansion in online classroom. Now we integrate this using standard polynomial integration rules.
For substitution:
use the sub...

Answered by Morgan R. • Maths tutor

3423 Views

Find the tangent to the curve y = x^3 - 2x at the point (2, 4). Give your answer in the form ax + by + c = 0, where a, b and c are integers.

y = x³- 2xdy/dx = 3x²-2plugging in x = 2, therefore gradient = 10using the formula to get the equation of a line y -y₁=m(x - x₁)substitute y₁=4 and ...

Answered by Kevalee S. • Maths tutor

4999 Views

I always mix up my integration and differentiation. How do i stop this?

First thing to do is practice. Practice makes perfect. You are not going to get through your differentiation and integration by doing only a couple of questions on these topics. You need to take one topic...

Answered by Yasmin P. • Maths tutor

3772 Views

Find dy/dx for (x^2)(y^3) + ln(x^y) = 5sin(6x)/x^(1/2)

To differentiate this equation we must use the implicit method, looking at the left side of the equation, to find the differential of the first term we must use the product rule, therefore the differentia...

Answered by Max H. • Maths tutor

3134 Views

Differentiate x^x

This can't be differentiated with the usual methods (chain rule, product rule). First we set y = x^x, and our objective is to calculate dy/dx in terms of x.
To turn this function into more ...

Answered by Joel T. • Maths tutor

11253 Views