Find the equation of the tangent line to

Mary Bates

Mary Bates

Answered question

2022-04-13

Find the equation of the tangent line to the graph of y=sin2(πx36) at the point with x=1?

Answer & Explanation

withthedevilwry5

withthedevilwry5

Beginner2022-04-14Added 6 answers

y=sin2(πx36)=sin(πx). At x=1
y(1)=sinπ=0 The point is (1,0)
y=sin(πx) Derivative y=πcos(πx)
At x=1 the slope is m=y=πcos(π)=π
So equation of tangent at point (1,0) in point slope form is
y-0=m(x-1) or y=π(x1)

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