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e^3x differentiates to 3e^3x as you multiply the function e^3x by the derivative of the inside function 3x. 3x differentiates to 3, so the answer is 3 multiplied by e^3x. The derivative of a natural log f...

Answer: x=(y+7)/4
Workings:y=4x-7 add 7 to both sidesy+7=4x divide both sides by 4 to give the answer

You need to use Pythagoras's theorem which states that for any right angled triangle, a²+b²=c² , where c is the hypotenuse and a and b are the other 2 sides of the triangl...

The index is 2/3 so first of all we can separate this and begin by looking at the 1/3. Fractions as indices mean that you must root the number, in this case we must cube root it because of the 3 in the de...

In differentiation, your goal is to reduce the power of the terms that you're differentiating with respect to (in this case, x).The method for doing this is:Multiply the power of your x term by its coeffi...