Which step is necessary in verifying that lnB + 3 = −3t is a solution to dB over dt equals negative 3 times B?

Answers

The step which is necessary in verifying that lnB + 3 = −3t is a solution to dB/dt = -3B is differentiate the function.

What is differentiation?

In mathematics, differentiation is the process of determining the derivative, meaning rate of change, of such a function.

In contrast to the abstract character of the theory that underpins it, the actual methodology of differentiation can be performed out using solely algebraic manipulations, employing three basic derivatives, 4 rules of operation, and understanding of how to operate functions.

The chain rule takes the more memorable “symbolic cancellation” form in the German mathematician Gottfried Wilhelm Leibniz’s notation, which utilizes d/dx in place of D and so permits differentiation with respect to distinct variables to be made explicit: d(f(g(x)))/dx = df/dg dg/dx.

Now according to the question; the given function is ;

lnB + 3 = −3t

Differentiate the function with respect to t;

(1/B)(dB/dt) + 0 = -3

Further simplifying;

(dB/dt) = -3B which is the requites solution for the function.

Therefore, to solve the given function differentiation is needed to be done.

solutionto dB/dt = -3B isdifferentiatethe function.## What is differentiation?

derivative,meaning rate of change, of such a function.algebraicmanipulations, employing three basic derivatives, 4 rules of operation, and understanding of how to operate functions.chain ruletakes the more memorable “symbolic cancellation” form in the German mathematicianGottfried Wilhelm Leibniz’snotation, which utilizes d/dx in place of D and so permits differentiation with respect to distinct variables to be made explicit: d(f(g(x)))/dx = df/dg dg/dx.Differentiatethe function with respect to t;differentiation,herehttps://brainly.com/question/954654#SPJ4