What is the tangent of 12x^2+3x ?

The tangent of 12x^2+3x is y=(24a_{0}+3)x-12a_{0}^2

Popular >

tangent of 12x^2+3x

tangent of

12 x^{2} + 3 x

y = (24 a_{0} + 3) x - 12 a_{0}^{2}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 12 a_{0}^{2} + 3 a_{0})

Find the slope of

y = 12 x^{2} + 3 x : \frac{d y}{d x} = 24 x + 3

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 24 a_{0} + 3

Find the line with slope m=

24 a_{0} + 3

and passing through

(a_{0}, 12 a_{0}^{2} + 3 a_{0}) : y = (24 a_{0} + 3) x - 12 a_{0}^{2}

y = (24 a_{0} + 3) x - 12 a_{0}^{2}

f (x) = 4 - 5 x^{2}

x \to a lim (x - a + c)

n = 1 \sum \infty \frac{1}{5 ^{n}}

\frac{1}{x} \cdot \frac{d y}{d x} + 2 y - e^{- x^{2}} = 0, y (1) = \frac{2}{e}

\frac{\partial}{\partial x} (lo g_{e} (x))

What is the tangent of 12x^2+3x ?
The tangent of 12x^2+3x is y=(24a_{0}+3)x-12a_{0}^2