Derivative Calculations In Exercises 1-8, given y=f(u) and u=g(x), find dy/dx= dy/dx=f′(g(x))g′(x). 1. y=6u−9,u=(1/2)x4 2. y=2u3,u=8x−1 3. y=sinu,u=3x+1 4. y=cosu,u=−3x 5. y=u,u=sinx 6. y=sinu,u=x−cosx 7. y=tanu,u=πx2 8. y=−secu,u=x1+7x

Given that (3)y=sinu,u=3x+1 here we can see

Resuelto Derivative Calculations In Exercises 1-8, given

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Derivative Calculations In Exercises 1-8, given

y = f (u)

and

u = g (x)

, find

d y / d x =

d y / d x = f^{'} (g (x)) g^{'} (x)

. 1.

y = 6 u - 9, u = (1/2) x^{4}

y = 2 u^{3}, u = 8 x - 1

y = sin u, u = 3 x + 1

y = cos u, u = - \frac{x}{3}

y = u, u = sin x

y = sin u, u = x - cos x

y = tan u, u = π x^{2}

y = - sec u, u = \frac{1}{x} + 7 x