Differentiate: sin(x) + 2x^2

To tackle this problem, we will spilt the two terms given.

Firsly, we'll take the sin(x) by itself: d/dx (sinx) = cos(x) - where d/dx means the differential of what is inside the bracket.

• This is a key differential that you should memorise or have already memorised. *

Next, we take the 2x^2: d/dx (2x^2) = 2*2x^1 = 4x - as x^1 is just x. - Again, this is a rule that you should memorise: multiply the number infront of the x by the power and then decrese the power by 1.

Therefore, your final answer should combine the two terms with the same symbol as shown in the question (in this case just '+' ):

So, we now have worked out that: d/dx (sin(x) + 2x^2) = cos(x) + 4x

And that's your final answer! Well done if you got that!