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dy/dx= 2x+(1/3)x^2

First we "bring the power down", that is, multiply by the power. Secondly, we subtract 1 from the power.Our answer is then dy/dx = 4*3x^(4-1) = 12x^3

Recall that in order to add and subtract fractions, they must have the same denominator. Therefore, we multiply the first fraction by (x+3)/(x+3) and the second fraction by (x-3)/(x-3) to create a common ...

Method 1 - By Elimination: Firstly, understand that in order to eliminate a variable, the coefficient needs to be the same for the variable in both equations. We can eliminate the x var...

Firstly make t the subject for both equations
(x-7)/6=4^t
(y+2)/3=4^(-t)
Times them together to eliminate t
((x-7)/6)((y+2)/3) = (4^t)*(4^-t)=4^0=1
Rearrange to the form required<...