Find the equation of the tangent line to \(f(x) = x^2\) at \((2, 4).\)
Find the equation of the tangent line to \(f(x) = x^2 - 1\) at \((-1, 0).\)
Find the slope of the tangent line to \(f(x) = x^2 + 1\) at \((1, 1).\)
Find the slope of the tangent line to \(f(x) = x^2 + 1\) at \(x = 3.\)
Find the equation of the tangent line to \(f(x) = x^3 + 2x\) at \((1, 3).\)
Find the equation of the tangent line to \(f(x) = x^3 + 2x\) at \((2, 12).\)
Find the equation of the tangent line to \(f(x) = x^3 - 9x\) at \((1, -9).\)
Find the slope of the tangent line to \(f(x) = \sqrt{x}\) at \(x = 1.\)
Find the equation of the tangent line to \(f(x) = \dfrac{1}{x}\) at \(x = 4.\)
Find the equation of the tangent line to \(f(x) = \dfrac{x}{x - 1}\) at \(x = 2.\)
Find the equation of the tangent line to \(f(x) = \dfrac{2x}{x + 1}\) at \((1, 1).\)
Find the equation of the tangent line to \(f(x) = (1 + 2x)^2\) at \((1, 9).\)
Find the equation of the tangent line to \(f(x) = \tan(x)\) at \(x = \dfrac{\pi}{4}.\)
Find the equation of the tangent line to \(f(x) = \sec^2(x)\) at \(\left(\dfrac{\pi}{3}, 4\right).\)
Find the equation of the tangent line to \(f(x) = x^2e^x - 2xe^x + 2e^x\) at \((1, e).\)
Find the equation of the tangent line to \(f(x) = \ln(2x)\) at \(x = 2.\)
Find the equation of the tangent line to \(f(x) = (x^3 - 3x + 1)(x + 2)\) at \((1, -3).\)
Find the equation of the tangent line to \(f(x) = x^2 - 2\) at \(x = 3.\)
Find the equation of the tangent line to \(f(x) = \dfrac{8}{x^2 + 4}\) at \((2, 1).\)
Find the equation of the tangent line to \(f(x) = \dfrac{27}{x^2 + 9}\) at \(\left(-3, \dfrac{3}{2}\right).\)
Find the equation of the tangent line to \(f(x) = x^3 - 5x\) at \((1, -4).\)
Find the equation of the tangent line to \(f(x) = \dfrac{16x}{x^2 + 16}\) at \(\left(-2, \dfrac{-8}{5}\right).\)
Find the equation of the tangent line to \(f(x) = \dfrac{4x}{x^2 + 6}\) at \(\left(2, \dfrac{4}{5}\right).\)
Find the slope of the tangent line to \(f(x) = 3x^2 - \ln(x)\) at \((1, 3).\)
Find the equation of the tangent line to \(f(x) = 2\cos(x)\) at \(x = \dfrac{\pi}{4}.\)
Find the equation of the tangent line to \(f(x) = \dfrac{3 - \dfrac{1}{x}}{x + 5}\) at \(x = 1.\)
Find the slope of the tangent line to \(f(x) = (x^2 + 2x)(x + 1)\) at \((1, 6).\)
Find the slope of the tangent line to \(D(p) = \dfrac{20}{\sqrt{p - 1}},\ p \gt 1\) at \((1, 6).\)
Find the equation of the tangent line to \(xe^y + ye^x = 1\) at \((0, 1).\)
Find the equation of the tangent line to \(y^3 + y^2 - 5y - x^2 = -4\) at \((1, -3).\)
Find the equation of the normal line to \(f(x) = 2x^3 - 4x^2\) at \((1, -2).\)
Find the equation of the normal line to \(f(x) = x^4 + 2e^x\) at \((0, 2).\)
Find the equation of the normal line to \(f(x) = \dfrac{x^2 + 4x - 7}{3x - 5}\) at \((2, 5).\)
Find the equation of the normal line to \(f(x) = x^2 - 4x + 3\) at \(x = 4.\)