What is the tangent of f(x)=\sqrt[4]{x}-x,(1,0) ?

The tangent of f(x)=\sqrt[4]{x}-x,(1,0) is y=-3/4 x+3/4

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tangent of f(x)=\sqrt[4]{x}-x,(1,0)

tangent of

y = - \frac{3}{4} x + \frac{3}{4}

Solution steps

Find the slope of

Compute the slope of

(1, 0) : m = - \frac{3}{4}

Find the line with slope m=

- \frac{3}{4}

and passing through

(1, 0) : y = - \frac{3}{4} x + \frac{3}{4}

y = - \frac{3}{4} x + \frac{3}{4}

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What is the tangent of f(x)=\sqrt[4]{x}-x,(1,0) ?
The tangent of f(x)=\sqrt[4]{x}-x,(1,0) is y=-3/4 x+3/4