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(x-4)^3

=(x-4) 2 (x-4)=(x 2 -8x+16)(x-4)=x 3 -4x 2 -8x 2 +32x+16x-64= x 3 -12x 2 +48x-64
PB
Answered by Pavel B. • Maths tutor
3803 Views

Find the first derivative of f(x) = tan(x).

First, use the trigonometric identity tan(x) = sin(x) / cos(x) to rewrite the function. It should now be very apparent that f(x) is now actually a ratio of two functions, and therefore the quotient rule will...
HR
Answered by Henry R. • Maths tutor
4045 Views

2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using alg...
RM
Answered by Robbie M. • Maths tutor
3510 Views

Find the equation of a Circle with centre (2,9) and radius 4.

In the form (x-x1)^2+(y-y1)^2=r^2 Hence equation is: (x-2)^2+(y-9)^2=16
SD
Answered by Salman D. • Maths tutor
4441 Views

Express the following in partial fractions: (1+2x^2)/(3x-2)(x-1)^2

(1+2x^2)/(3x-2)(x-1)^2 = -5/x-1 + 3/(x-1)^2 + 17/3x-2
MS
Answered by Manny S. • Maths tutor
4585 Views