Find an equation of the tangent line

Thread starter 10min
Start date Nov 30, 2008
Tags

Line Tangent Tangent line

Nov 30, 2008

10min

Homework Statement

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

Homework Equations

Derivative
y=mx+b

The Attempt at a Solution

I am totally lost
I don't know what to do with 10^x

Please help me
this will save me failing the class

Physics news on Phys.org

Scientist returns to microbial roots and discovers potential quantum computing advancement
Physicists achieve record precision in measuring proton-to-electron mass ratio with H₂⁺
Quantum calculations provide a sharper image of subatomic stress

Nov 30, 2008

rock.freak667

Homework Helper

y=10^x
=> lny=xln10

Now just find dy/dx

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

View full post »

Thread 'Solve this problem that involves induction'

Hello, This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread. Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).

View full post »