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Maths
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How do you differentiate? And how is integration related to it?

Differentiation is pretty simple! It has a set of instructions you need to follow and then you should be good to go!

For example, differentiate x^6
The first step is to bring down t...

AM
Answered by Ashmita M. Maths tutor
4447 Views

Find the tangent to the curve y=x^3+3 at the point x=1.

1. Differentiate the Equation of the curve to find the gradient: y'=3x^2

2. The gradient of the tangent is found by substituting x=1 into y'=3x^2: Gradient of tangent=3

3. N...

SK
Answered by Sevenia K. Maths tutor
4539 Views

Use the substition u = cos(x) to find the indefinite integral of -12sin(x)cos^3(x) dx

We are given the substitution to use, so the first step is to differentiate "u" with respect to x

du/dx = -sin(x)

Now, to replace the "dx&q...

AH
Answered by Arnab H. Maths tutor
8607 Views

Differentiate x^3(sinx) with respect to x

As we are differentiating a product (two things times together) we can use the product rule which is if:

                       y = u(x)v(x)

then

             ...

SC
Answered by Sophie C. Maths tutor
31793 Views

Solve 2x + 10 = 4x + 6

This question require us to rearrange the equation and solve it to find the vale of x.

Firstly we need to make sure all of the x are on one side of the equation. To put all the values of ...

SC
Answered by Sophie C. Maths tutor
7217 Views

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