What is the tangent of f(x)=x^7,\at x=2 ?

The tangent of f(x)=x^7,\at x=2 is y=448x-768

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of f(x)=x^7,\at x=2

tangent of

f (x) = x^{7}, at x = 2

y = 448 x - 768

Solution steps

Find the tangent point:

(2, 128)

Find the slope of

f (x) = x^{7} : \frac{df ( x )}{d x} = 7 x^{6}

Compute the slope of

f (x) = x^{7}

x = 2 : m = 448

Find the line with slope m=

448

and passing through

(2, 128) : y = 448 x - 768

y = 448 x - 768

\frac{d v}{d t} = - k t v^{2}, v (0) = 50

sin (3 x)

h (θ) = θ cos (θ)

\int \frac{x y ^{2}}{x ^{2} + 1} d y

x \to - \infty lim (tanh (x))

What is the tangent of f(x)=x^7,\at x=2 ?
The tangent of f(x)=x^7,\at x=2 is y=448x-768