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How do I use product rule when differentiating?

Problems like this usually look something like: Find the differential of (x² e^2x). The product rule is used when we have to differentiate two different functions multiplied by eachot...

Answered by Jasvir K. • Maths tutor

3102 Views

Consider the following production function: Q = K^a + KL^(b+2), find the marginal product of capital.

The marginal product of capital (MPK) is defined as the additional unit of output, all things being equal, that comes with an additional unit of capital used.
The equation for MPK is: change in outpu...

Answered by Zachary F. • Economics tutor

4318 Views

In the case of vectors, how do I find the shortest distance between a point and a line?

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trig...

Answered by Saskia K. • Maths tutor

5688 Views

Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides ...

Answered by Natalie B. • Maths tutor

6348 Views

A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can conver...

Answered by Gemma W. • Maths tutor

3195 Views