What is the tangent of y=4^x,(1,4) ?

The tangent of y=4^x,(1,4) is y=8ln(2)x+4-8ln(2)

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tangent of y=4^x,(1,4)

tangent of

y = 4^{x}, (1, 4)

y = 8 ln (2) x + 4 - 8 ln (2)

Solution steps

Find the slope of

y = 4^{x} : \frac{d y}{d x} = ln (2) \cdot 2^{2 x + 1}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 8 ln (2)

Find the line with slope m=

8 ln (2)

and passing through

(1, 4) : y = 8 ln (2) x + 4 - 8 ln (2)

y = 8 ln (2) x + 4 - 8 ln (2)

(\frac{x ^{2} + 1}{x ^{2} - 1})^{3}

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

\frac{d y}{d y}

\frac{d}{d x} (\frac{x}{y} + \frac{y}{z})

\int \frac{x - 1}{x - 1} d x

What is the tangent of y=4^x,(1,4) ?
The tangent of y=4^x,(1,4) is y=8ln(2)x+4-8ln(2)