91Ó°ÊÓ

In Exercises \(1-28\) , find \(d y / d x\) . Remember that you can use NDER to support your computations. $$y=e^{\left(x^{2}\right)}$$

In Exercises \(9-12,\) a particle moves along the \(x\) -axis so that its position at any time \(t \geq 0\) is given by \(x(t) .\) Find the velocity at the indicated value of \(t .\) $$x(t)=\sin ^{-1}\left(\frac{\sqrt{t}}{4}\right), \quad t=4$$

In Exercises \(7-12,\) find the horizontal tangents of the curve. $$y=4 x^{3}-6 x^{2}-1$$

In Exercises \(9-12,\) an object moves along the \(x\) -axis so that its position at any time \(t \geq 0\) is given by \(x(t)=s(t) .\) Find the velocity of the object as a function of \(t .\) $$s=t \cos (\pi-4 t)$$

In Exercises \(9-12,\) find \(d y / d x\) and find the slope of the curve at the indicated point. $$x^{2}+y^{2}=9, \quad(0,3)$$

In Exercises \(1-28\) , find \(d y / d x\) . Remember that you can use NDER to support your computations. $$y=8^{x}$$

In Exercises \(9-12,\) an object moves along the \(x\) -axis so that its position at any time \(t \geq 0\) is given by \(x(t)=s(t) .\) Find the velocity of the object as a function of \(t .\) $$s=\frac{4}{3 \pi} \sin 3 t+\frac{4}{5 \pi} \cos 5 t$$

In Exercises \(9-12,\) find \(d y / d x\) and find the slope of the curve at the indicated point. $$(x-1)^{2}+(y-1)^{2}=13, \quad(3,4)$$

In Exercises \(7-12,\) find the horizontal tangents of the curve. $$y=5 x^{3}-3 x^{5}$$

Find \(\frac{d}{d x}\left(x^{2}\right)\)