What is the tangent of f(x)=x^4,\at x=6.87 ?

The tangent of f(x)=x^4,\at x=6.87 is y=1296.970812x-6682.64210…

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tangent of f(x)=x^4,\at x=6.87

tangent of

f (x) = x^{4}, at x = 6.87

y = 1296.970812 x - 6682.64210 \dots

Solution steps

Find the tangent point:

(6.87, 2227.54736 \dots)

Find the slope of

f (x) = x^{4} : \frac{df ( x )}{d x} = 4 x^{3}

Compute the slope of

f (x) = x^{4}

x = 6.87 : m = 1296.970812

Find the line with slope m=

1296.970812

and passing through

(6.87, 2227.54736 \dots) : y = 1296.970812 x - 6682.64210 \dots

y = 1296.970812 x - 6682.64210 \dots

\int x^{3} + 2 x + 1 d x

f (x) = \frac{2 x ^{2}}{x + 3}

(2 x - 1)^{2}

x \to 0 - lim (18 - x^{2})

\frac{d}{d x} (\frac{1}{x + c})

What is the tangent of f(x)=x^4,\at x=6.87 ?
The tangent of f(x)=x^4,\at x=6.87 is y=1296.970812x-6682.64210…