Question

Can someone explain me this Calculus problems please?

a)Defferentitate each function with respect to x
1) y(=-x^4-2)^5
2)y=((2x^2+1)^4+4)
3)y=(3x-2)/(5x^2+3)^4
4)y=(5x^2-3)^-5(2x-5)

Find the defferential dy
y=x^3+1

Find instantaneous rate of change of the function at the given value
1) y=-2x^2-2x+2; -2

Differentiate each function with respect to x
1) y= e^(4x^4)

Answer 1

dont solve it for me, gimme some rule or smething to do it by my self, in exception for A) jsut explain one plz

Answer 2

You use the product rule.

Answer 3

for which one?

Answer 4

Sorry not product rule, but the chain rule. For the first one.

Answer 5

f(g(x))?

Answer 6

Yes.

Answer 7

so then. 5(-x^4-2)4 * x^5??

Answer 8

5(-x^4-2)^4 * x^5

Answer 9

Exactly.

Answer 10

then i simplify?

Answer 11

Yes.

Answer 12

5(-x^9-2)^4??