What is the tangent of y=x^4+6e^x,(0,6) ?

The tangent of y=x^4+6e^x,(0,6) is y=6x+6

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tangent of y=x^4+6e^x,(0,6)

tangent of

y = x^{4} + 6 e^{x}, (0, 6)

y = 6 x + 6

Solution steps

Find the slope of

y = x^{4} + 6 e^{x} : \frac{d y}{d x} = 4 x^{3} + 6 e^{x}

Compute the slope of

y = x^{4} + 6 e^{x}

(0, 6) : m = 6

Find the line with slope m=

6

and passing through

(0, 6) : y = 6 x + 6

y = 6 x + 6

5 \cdot t \cdot e^{- 5 \cdot t}

\frac{\partial}{\partial y} (x^{2} y + x)

\frac{d}{d x} (x^{2} (x - 3))

f (y) = tan (y)

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

What is the tangent of y=x^4+6e^x,(0,6) ?
The tangent of y=x^4+6e^x,(0,6) is y=6x+6