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Find dy/dx for y=5x^3-2x^2+7x-15

Step 1: To differentiate an equation there is a simple rule to follow. For y=ax n dy/dx=anx n-1 . so for an example y=x 3 , dy/dx=3x 2. Therefore we just apply this rule into our equation. Step 2: Break the ...
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Answered by Matthew T. • Maths tutor
13406 Views

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

Step 1: Multiply everything by x-4 to give (2x+3) - ((2x-8)(x-4)/2x+1)=(x-4) Step2: Multiply everything by 2x+1 to give (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1) Step 3: Multiply out the brackets to give (4x 2 +8...
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Answered by Matthew T. • Maths tutor
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Why doesn't the concentration of products or reactants change when a reaction is at dynamic equilibrium?

At dynamic equilibrium in a closed system (for example, in the Haber process to make ammonia), both the forward and backward reactions continue to occur. However, both reactions happen at the same rate. Ther...
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Answered by Rose A. • Chemistry tutor
5975 Views

How do you integrate by parts?

When you are faced with an integral which is a product, such as x.cos(x) , you may be able to integrate it by parts. The statement of the integration by parts is that: ∫u(dv/dx)dx = uv-∫v(du/dx)dx So if you ...
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Answered by Tim W. • Maths tutor
7336 Views

How do you factorise a quadratic equation?

A quadratic expression is of the form ax ​2 +bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of seeing what th...
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Answered by Tim W. • Maths tutor
5160 Views