Question #d54f6

1 Answer
Aug 29, 2015

See explanation

Explanation:

I'll make two guesses at what the intended question is.

Guess 1
Assume that #x# is a function of #t# and find the derivative with respest to #t# of the expression #4x^2+55446#

Find #d/dt(4x^2+55446)#

We'll use implicit differentiation (which means we're using the chain rule.

The derivative of the constant #55446# is #0#, so we have:

#d/dt(4x^2+55446) = 8x dx/dt #

Guess 2

Assume that the intended question is

Find #dx/dt# if #4x^2 = 55446#

In this case we get: #8x dx/dt = 0#,

so #dx/dt = 1/(8x)#