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Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x) Use the product rule: y'=uv'+vu' y=u*v Differentiate: u=e^(x) u'=e^(x) v=sin(x) v'=cos(x) Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x) Take out a factor of e^(x): y'=e^(x)*(cos(x)+s...
AJ
Answered by Alexander J. • Maths tutor
6047 Views

Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e -2t , y=4-2e 2t dy/dx = dy/dt * dt/dx dy/dt = -4e 2t dx/dt = -8e -2t dt/dx = -1/8 * e 2t dy/dx = (-4e 2t )(-1/8 * e 2t ) = 1/2 * e 4t dy/dx = 0.5e 4t
JM
Answered by Josh M. • Maths tutor
6026 Views

Mike, Sam and James play football. Mike scores 8 more goals than James. Sam scores 5 more goals than Mike. Altogether they score 72 goals. How many did Sam score?

Let James = x Mike = x+8 Sam = Mike+5 = (x+8)+5 = x+13 Altogether: James + Mike + Sam = 72 Therefore, x + (x+8) + (x+13) = 72 Now solve for x: 3x + 21 = 72 Bring 21 to the other side: 3x = 72-21 = 51 Divide ...
JR
Answered by Joshua R. • Maths tutor
4314 Views

How to use the quadratic formula, using the following equation: x^2 + 3x - 4

To begin you must identify the co-efficients of each x term, essentially what number comes before x 2 , x and the integer value. a = 1, b = 3, c = -4 . We then substitute these values into the quadratic form...
OB
Answered by Oliver B. • Maths tutor
3634 Views

I know the formula, but I don't understand it.

A thorough understanding of all the mathematical formulas prescribed in the subject specification is crucial for your survival in the no-mans-land of the maths exam, where your examiner tries his best to mur...
LL
Answered by Le L. • Maths tutor
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