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If y = exp(x^2), find dy/dx

Recall that the derivative of exp(x) is exp(x), but notice this question is slightly more complex due to the x^2 term. This is example of differentiationg composite functions, and so the chain rule is requir...
SB
Answered by Stuart B. • Maths tutor
8537 Views

What is the perimeter and area of a rectangle with a length of 8cm and width of 3cm?

The perimeter is the distance around the rectangle. A rectangle has 4 sides: 2 of them will be the length (8cm) and 2 of them the width (3cm). To get the perimeter, you add up 2 of the length and 2 of the wi...
EL
Answered by Emma L. • Maths tutor
31973 Views

Solve this equation: 3x-10=12x-7

Firstly, get all of the x's onto one side of the equation and all of the numbers onto the other. To make it easier at the end, subtract the smaller value of x so that it doesn't become negative: 3x-10=12x-7 ...
EL
Answered by Emma L. • Maths tutor
3398 Views

Simplify (5/x+1) + (6/x-5)

To combine these two fractions into one, you have to multiply the equation by the denominators in order to make a common denominator: 5(x-5)/(x+1)(x-5) + 6(x+1)/(x+1)(x-5) Now that the denominators are the s...
EL
Answered by Emma L. • Maths tutor
3414 Views

On a pirate ship, a 1.6m plank is held at one end to the ship. A 65kg pirate walks the plank with his 1.1kg parrot following 40cm behind him. What is the total clockwise moment acting on the plank when the pirate reaches the end of it?

Moment = force x distance Pirate: force = 65 x 9.81 =637.65 distance = 1.2 moment = 637.65 x 1.6 =1020.24 = 1020 Nm (3 sig fig) Parrot: force = 1.1x 9.81 = 10.791 distance = 1.6 - 0.4 = 1.2 moment = 10.791 x...
AS
Answered by Amy S. • Physics tutor
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