# 12.6.1. Derivatives of Trigonometric Functions

Given that the function , discuss its differentiability at any point of its domain.

• AThe function is differentiable on .
• BThe function is differentiable on .
• CThe function is differentiable on .
• DThe function is differentiable on .
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Discuss the differentiability of the function at .

• A is differentiable at .
• B is not differentiable at because is discontinuous at .
• C is continuous but not differentiable at because .
• D is not differentiable at because is undefined.
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Given that the function is differentiable at , find the values of and .

• A,
• B,
• C,
• D,
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Given that the function is differentiable at , find the values of and .

• A,
• B,
• C,
• D,
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Given that the function , discuss its differentiability at .

• AThe function is not differentiable at because doesn't exist.
• BThe function is not differentiable at because is not continuous at that point.
• CThe function is differentiable at because exists.
• DThe function is differentiable at because exists.
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Given that the function , discuss its continuity and differentiability at .

• AThe function is not continuous but differentiable at .
• BThe function is continuous and differentiable at .
• CThe function is continuous but not differentiable at .
• DThe function is not continuous, so it is not differentiable at .
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Given that , discuss the differentiability of at .

• AThe function is not differentiable at that point as .
• BThe function is differentiable at that point as .
• CThe function is differentiable at that point as exists.
• DThe function is not differentiable at as is discontinuous at that point.
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Given that the function , discuss the differentiability of at .

• AThe function is not differentiable at as is discontinuous at that point.
• BThe function is differentiable at as is continuous at that point.
• CThe function is not differentiable at that point as .
• DThe function is differentiable at that point as .
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Given that the function , discuss its differentiability at .

• A is not differentiable at because is undefined.
• B is differentiable at because is continuous at .
• C is not differentiable at because is discontinuous at .
• D is continuous but not differentiable at because .
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Given that the function , is differentiable at , find the values of and .

• A, .
• B, .
• C, .
• D, .
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