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Differentiate sin(x)cos(x)

let sin(x)=u , let cos(x)=v

du/dx = cos(x),   dv/dx = -sin(x)

d[sin(x)cos(x)]/dx = v.du/dx + u.dv/dx

= cos^2(x) - sin^2(x)

JD
Answered by James D. Maths tutor
4775 Views

The probability a student in a school wears glasses is 3/7. There are 164 students who DON'T wear glasses. Find the number that wear glasses.

The probability they wear glasses is 3/7, which means the probability they don't is 1-3/7=4/7. This means 164 students make up 4/7 of the school. To find the number that wear glasses we need to find how m...

AR
Answered by Alice R. Maths tutor
5730 Views

The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]

Differentiate equation

dy/dx=0.5*x-0.5

Gradient is the same as the second equation

2/3=0..5*x-0.5 

Solving this ...

AM
Answered by Arnold M. Maths tutor
6070 Views

Find the points that the graph "y = x^2 -4x -14" touches the x-axis

(2+3√2, 0)  and (2-3√2, 0)

TC
Answered by Thomas C. Maths tutor
3025 Views

Differentiate (4x+9)^3

(3*4)(4x+9)^(3-1)

Where 4 is the derivative of inside the brackets and 3 is the power of the brackets.

Therefore the answer is 12(4x+9)^2

AT
Answered by Alexander T. Maths tutor
4533 Views

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