Find the derivative of log[10x+7] by first principle

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                          

Derivative Property [Addition/Subtraction]:                                                          

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       Basic Power Rule [Derivative Properties]:                                                  

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Get 40 cups.u would say since the bowl and cups must be equal it would be 40

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.