As per the chain rule if y is a function of t and t is a function of x- then d y-d x-d y-d t-d t-d x-A- TrueB- False

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Differentiation Rule

As per the ch...

Question

As per the chain rule if y is a function of t and t is a function of x, then $\frac{d y}{d x} = \frac{d y}{d t} \times \frac{d t}{d x} .$

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

For a function given by $y = f (t) and x = g (t)$ . Then $\frac{d y}{d x}$ can be expressed as
$\frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$

x

y

t

\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}}

\frac{d x}{d t} \neq 0

For a function given by $y = f (t) and x = g (t)$ . Then $\frac{d y}{d x}$ can be expressed as
$\frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$

y \int 0 cos t^{2} d t = x^{2} \int 0 \frac{sin t}{t} d t

\frac{d y}{d x}

y = f (x)

y = x^{3} - 8 x + 7

x = f (t)

\frac{d y}{d t} = 2

x = 3

t = 0

\frac{d x}{d t}

t = 0

Join BYJU'S Learning Program