Use Implicit Differentiation to Find an Equation of the Tangent $$y = \sin x y ^ { 6 } ; \quad \left( \frac { \pi } { 2 } , 1 \right)$$

question 33

Short Answer

Use implicit differentiation to find an equation of the tangent line to the curve at the indicated point.
$$y = \sin x y ^ { 6 } ; \quad \left( \frac { \pi } { 2 } , 1 \right)$$

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Definitions:

Psychoanalytic Theory

A theory of personality organization and the dynamics of personality development that guides psychoanalysis, developed by Sigmund Freud.

Humanistic Perspective

A psychological approach that emphasizes the study of the whole person, looking at human behavior not only through the eyes of the observer but also through the eyes of the person doing the behaving.

Psychotherapy

A form of treatment aimed at improving mental health by talking with a psychologist, psychiatrist, or another mental health provider.

Behavior Therapies

Treatments, based on behavioral and social cognitive theories, that use principles of learning to reduce or eliminate maladaptive behavior.