Find f”(x)=(3x^4+2)^5

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

Step-by-step explanation:

we need to break this up using the chain rule

(3x⁴+2)=u

so we have

So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)

which is 12x³

we now need to take the derivative of u⁵=5u⁴

Mulitply these together

60x³u⁴=60x³(3x⁴+2)⁴

do the same thing again

60x³u⁴

we now need to do the mulitplication rleu

(60x³)'(u⁴)+(60x³)(u⁴)'

=

180x²u⁴+60x³*4u³

simplify

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

while you could do more to simplify it, it would get really messy

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

i think the answer is b.

step-by-step explanation:

not 100% sure though.