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how can differentiate using the product and chain rule? e.g y=(4x+1)^3(sin2x), find dy/dx.

First you have to identify the equation for y is a product. Then you can apply the product rule using (4x+1)^3 as one term and sin2x as the other. First you differentiate (4x+1)^3 using the chain rule. You d...
RJ
Answered by Rajvir J. • Maths tutor
4995 Views

If 4x + 3y = 4 and x + 2y = 2 what are the values of x and y ?

First you need to make either the x value or the y value equal by multiplying each equation by a number. 2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals: Equation 1: ( 8x + 6y = 8 ) and Equation 2: ( 3x + ...
MT
Answered by Max T. • Maths tutor
6538 Views

Factorise 15a^2 + ab - 6b^2

15a2+ab-6b2 =(?a+?b)(?a-?b) Factors of 15= 3 and 5 Factors of 6= 2 and 3 If we try (3a+2b)(5a-3b) that gives us 15a2+10ab-9ab-6b2 = 15a2+ab-6b2 therefore the answer is (3a+2b)(5a-3b)
AB
Answered by Aayushi B. • Maths tutor
4821 Views

Let Sn be the sum of the first n terms of the arithmetic series 2+4+6+... . Find (i) S4 ; (ii) S100 .

(i) S 4 =2+4+6+8=20 (ii)S 100 = 2+4+...+200=2(1+2+...+100)=2(100+1)*(100/2)=10100
SL
Answered by Salomon L. • Maths tutor
2473 Views

Determine the integral: ∫5x^4dx

x^5+C
SL
Answered by Salomon L. • Maths tutor
3887 Views