What is the tangent of 2x^2-3x+4 ?

The tangent of 2x^2-3x+4 is y=(4a_{0}-3)x-2a_{0}^2+4

Popular >

tangent of 2x^2-3x+4

tangent of

2 x^{2} - 3 x + 4

y = (4 a_{0} - 3) x - 2 a_{0}^{2} + 4

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 2 a_{0}^{2} - 3 a_{0} + 4)

Find the slope of

y = 2 x^{2} - 3 x + 4 : \frac{d y}{d x} = 4 x - 3

Compute the slope of

y = 2 x^{2} - 3 x + 4

x = a_{0} : m = 4 a_{0} - 3

Find the line with slope m=

4 a_{0} - 3

and passing through

(a_{0}, 2 a_{0}^{2} - 3 a_{0} + 4) : y = (4 a_{0} - 3) x - 2 a_{0}^{2} + 4

y = (4 a_{0} - 3) x - 2 a_{0}^{2} + 4

x \to 1 lim (\frac{x - 2}{x - 1})

x \to 0 + lim (ln (x) tan (x))

x \to - 4 lim (\frac{2}{( x + 4 ) ^{6}})

\frac{d}{d x} f (x) = (x^{4} + 3 x^{2} - 9)^{6}

\int \frac{x ^{2} - x - 5}{x ^{3} + x ^{2} - 2} d x

What is the tangent of 2x^2-3x+4 ?
The tangent of 2x^2-3x+4 is y=(4a_{0}-3)x-2a_{0}^2+4