Hi. I need help with these questions (see image)
Please show workings.
Answer a and b

see explanation

Step-by-step explanation:

Using the chain rule along with standard derivatives

Given

y = f(g(x)) , then

= f'(g(x)) × g'(x)

(sinx) = cosx , (cosx) = - sinx

(a)

y = sin x²

= cos x² × (x² )

   = cos x² × 2x

   = 2xcosx²

(b)

y = cos4x³

= - sin4x³ × (4x³ )

   = - sin4x³ × 12x²

   = - 12x²sin4x³

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.