The solution is written below

asked 2021-05-21

Find an equation of the tangent line to the curve at the given point (9, 3)

\(y=\frac{1}{\sqrt{x}}\)

\(y=\frac{1}{\sqrt{x}}\)

asked 2021-11-15

Find an equation of the tangent line to the curve at the given point.

asked 2021-05-31

Find an equation of the tangent line to the given curve at the specified point.

\(y=\frac{e^x}{x},(1,e)\)

\(y=\frac{e^x}{x},(1,e)\)

asked 2021-10-09

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

\(\displaystyle{y}{\sin{{\left({12}{x}\right)}}}={x}{\cos{{\left({2}{y}\right)}}},{\left(\frac{\pi}{{2}},\frac{\pi}{{4}}\right)}\)

\(\displaystyle{y}{\sin{{\left({12}{x}\right)}}}={x}{\cos{{\left({2}{y}\right)}}},{\left(\frac{\pi}{{2}},\frac{\pi}{{4}}\right)}\)

asked 2021-05-17

Find equations of both lines through the point (2, ?3) that are tangent to the parabola \(y = x^2 + x\).

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

\(y_1\)=(smaller slope quation)

\(y_2\)=(larger slope equation)

asked 2021-09-24

Find equations of both lines through the point (2, ?3) that are tangent to the parabola \(\displaystyle{y}={x}^{{2}}+{x}\).

\(\displaystyle{y}_{{1}}\)=(smaller slope quation)

\(\displaystyle{y}_{{2}}\)=(larger slope equation)

\(\displaystyle{y}_{{1}}\)=(smaller slope quation)

\(\displaystyle{y}_{{2}}\)=(larger slope equation)

asked 2021-09-25

If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x = 2.