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First you must write the function in terms on something you know how to differentiate, for example... by taking tan (..) of both sides the equation becomes, tan(y)= ax² +b. We then use implicit...

x=2t --> t= x/2 
y=t² = (x/2)². 

So the Cartesian equation is y=x²/4. 

3x+7 = 1. We can describe this equation as a stroy. First x was multiplied by 3 and then 7 was added to it to get 1. Now we need to reverse the story. 
last thing done was +7, so reversing it gives ...

(x-5)(x-3)=0

x-5=0 x-3=0

x=5 x=3

To answer this question we observe that y is the product of x^2 and sin(x), so we use the product rule. Then dy/dx = 2x * sin(x) + cos(x) * x^2 The resulting equation can be tidied up by factoring out x a...