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Differentiate y = x^2 + 3x + 5

y = x² + 3x + 5
dy/dx = 2x + 3

Answered by Jonny M. • Maths tutor

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The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work o...

Answered by Varun A. • Maths tutor

7080 Views

How do I differentiate a function of x and y with respect to x?

To differentiate a function of x and y, you must differentiate x as you would ordinarily, and then differentiate y as you would normally, but multiply the differentiated term by dy/dx. For terms with x an...

Answered by Hannah M. • Maths tutor

22160 Views

Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3

This is an example of quadratic simultaneous equations. We need to work out the value(s) of x OR y by rearranging one of the equations and then substituting it into the other equation. Once obtaining the ...

Answered by Imama Taiba N. • Maths tutor

5044 Views