Questions tagged 'Differentiation'
4 questions
If z = f(x, y), where f is differentiable, and the following applies, find dz/dt when t = 1.?
Given that ( z = f(x, y) ), where ( f ) is a differentiable function, please find ( \frac{dz}{dt} ) when ( t = 1 ). The relationships are defined as follows: ( x = g(t) ) and ( y = h(t) ), with the sp...
How do you differentiate the following function. y = sec(θ) (θ – tan(θ))?
How do you differentiate the following function: ( y = \sec(\theta) (\theta - \tan(\theta)) )? Could you please explain the steps involved in finding the derivative? Thank you!
Nov 28, 2024
Find dy/dx.x = t/(8 + t)y = sqrt(8 + t)?
How do I find dy/dx given the equations x = t/(8 + t) and y = sqrt(8 + t)?
Find the differential dy. y = e^(x/2)?
I need assistance with finding the differential ( dy ) for the function ( y = e^{(x/2)} ). Additionally, I would like to evaluate ( dy ) at ( x = 0 ) and ( dx = 0.01 ). Any help with this would be gre...