Write the Function in the Form Y = F(u) and U

question 485

Multiple Choice

Write the function in the form y = f(u) and u = g(x) . Then find dy/dx as a function of x.
- $$y = \cos ^ { 4 } x$$

• A) \(y = \cos u ; u = x ^ { 4 } ; \frac { d y } { d x } = - 4 x ^ { 3 } \sin \left( x ^ { 4 } \right)\)
• B) \(y = u ^ { 4 } ; u = \cos x ; \frac { d y } { d x } = - 4 \cos ^ { 3 } x \sin x\)
• C) \(y = u ^ { 4 } ; u = \cos x ; \frac { d y } { d x } = 4 \cos ^ { 3 } x \sin x\)
• D) \(y = \cos u ; u = x ^ { 4 } ; \frac { d y } { d x } = - \sin \left( x ^ { 4 } \right)\)

Assess the long-term benefits and enduring effects of psychodynamic therapy.

Anticipate future directions and training focuses in the field of psychodynamic psychotherapy.

Measure the long-term efficacy of long-term psychodynamic therapy versus shorter forms of treatment.

Interpret effect size statistics in the context of psychotherapy research.

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The tallest permissible or achievable height for a structure, vehicle, or component, often regulated for safety or operational reasons.

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A type of truck designed for long-distance transport, featuring characteristics suited for travel on highways such as higher speed capabilities and increased comfort features.