Find the Equation of the Line Tangent to the Graph $\frac { \pi } { 2 }$

question 109

Multiple Choice

Find the equation of the line tangent to the graph of y = sin 2x at x = $\frac { \pi } { 2 }$ ?

• A) y = -2x - π
• B) y = - \(\left( x - \frac { \pi } { 2 } \right)\)
• C) y = (cos 2x) \(\left( x - \frac { \pi } { 2 } \right)\)
• D) y - 1 = x - \(\frac { \pi } { 2 }\)
• E) none of these

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Definitions:

Nephridia

Excretory organs in many invertebrates, including annelids and mollusks, that filter fluid directly from the body cavity.

Mollusks

A diverse group of invertebrate animals with a soft body, many of which have a hard shell, including snails, clams, and squid.

Protonephridia

A type of excretory and osmoregulatory system found in some invertebrates, consisting of a network of tubules ending in flame cells.

Nephridia

Excretory organs in many invertebrates, such as annelids, functioning similarly to kidneys in vertebrates by removing waste materials.