find-the-maximum-slope-of-the-tangent-line-to-the-curve-y5sin3x2y5sinleftfrac3pi

Question

Find the maximum slope of the tangent line to the curve y=5sin⁡(3πx2)y=5\sin\left(\frac{3\pi x}{2}\right) within the interval −1x1-1 .

Accepted Answer

15π2\frac{15\pi}{2}

Answer

30π30\pi

Answer

15π4\frac{15\pi}{4}

Answer

15π15\pi

Find the maximum slope of the tangent line to the curve y=5sin(3πx2)y=5\(\sin\[\left\)(\(\frac{3\pi x}{2}\]\right\)) within the interval −1<x<1-1 < x < 1.