Question

differentiation wrt.x​

Answer 1

Answer:

2px

Step-by-step explanation:

Given :

$= p {x}^{2} - \frac{1}{2}$

To find:

$\boxed{\bold{\frac{dy}{dx}}}$

Differentiate w.r.t x

$= \frac{d( 2p {x}^{(2 - 1)}) }{dx} - \frac{1}{2}$

$= 2px - 0 \\ \\ = 2px$

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Rules:-

★ $\boxed{\bold{\mathsf{\frac{d(x^{n}) }{ dx} = n \times x^{n-1} }}}$

★ $\boxed{\bold{\mathsf{ \frac{d(const.)}{dx} = 0 }}}$

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$\boxed{\bold{\mathsf{More\: info}}}$:—

What do you Mean by Differentiation ?

★ The process of finding out a function that gives us a resultant relation of the rate of change of one variable with respect to another variable.

★ The result of differentiation is known the derivative.

★ Generally we write it as dy/dx