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If m denotes the slope of the tangent line to the function f(x) = 3^x at the point (0,1), then m > 1 .

2007-02-22 09:40:22 · 3 answers · asked by hankypanky680 1 in Science & Mathematics Mathematics

3 answers

true typing why
sorry about that you see if you get the derivative of the equation
f(x)=3^x it will be 3 ^1 which is three
since you cant substitute x in (because its a constant )
thus the slope is 3
and the slope is more than 1
so yah its true

p.s the derivative of any function is always the x values power
minus one and the x value itself is times by its exponent in this case the exponent was 1 since it was only x

3^(x^1)= 3 (1(X)^1-1) =3^1 =3
this derivative now represents a constant function
so usually you would substitute the zero in but in this case no
so the slope is 3

2007-02-22 09:46:09 · answer #1 · answered by morgan 2 · 0 1

The slope is given by m= 3^x* ln3 and at x=0 the slope is ln3=1.0986>1 True

2007-02-22 13:19:23 · answer #2 · answered by santmann2002 7 · 0 0

In computing gadget language && returns actual in simple terms whilst the two are actual, the place as || returns actual if any of them is actual. Its fact table is a million acts as actual & 0 acts as fake For and 0 && 0 = 0 0 && a million = 0 a million && 0 = 0 a million && a million = a million For OR 0 || 0 = 0 0 || a million = 0 a million || 0 = 0 a million || a million = a million

2016-10-16 06:44:48 · answer #3 · answered by ? 4 · 0 0

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