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Find an equation of the tangent line to the curve y=10^(x) at the point (1,10)

2 answers

The equation of the tangent line is y = 10(x - 1) + 10.
I just know that the bot will screw up this one for sure

y = 10^x
dy/dx = ln10 (10^x)
at (1,10) , dy/dx = 10ln10

so the equation of the tangent at (1,10)
y - 10 = 10ln10(x - 1)
or
y = 10ln10 x - 10ln10 + 10
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