Question

find d/dx when y=6x+7​

Answer 1

$\frac{d}{dx} (6x + 7) \\ = 6( \frac{dx}{dx} ) + 0 \\ = 6(1) + 0 = 6$

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Answer 2

Given :

Function

$\sf\:y=6x+7$

To Find :

dy/dx

Formula's Used

$1)\sf\frac{d(x^n)}{dx}=nx^{n-1}$

$2)\sf\frac{d(constant)}{dx}=0$

Solution :

We have :

$\bf\:y=6x+7$

Now , Differentiate with respect to x

$\sf\dfrac{dy}{dx}=\dfrac{d(6x)}{dx}+\dfrac{d(7)}{dx}$

We know that $\tt\frac{d(x^n)}{dx}=nx^{n-1}$

$\sf\dfrac{dy}{dx}=6x^{1-1}+0$

$\sf\dfrac{dy}{dx}=6x^{0}$

$\sf\dfrac{dy}{dx}=6$

${\red{\boxed{\large{\bold{\dfrac{dy}{dx}=6}}}}}$

More Formula's Related to

Differentiation :

$1)\sf\frac{d(\cos\:x)}{dx}=-\sin\:x$

$2)\sf\frac{d(\sin\:x)}{dx}=\cos\:x$

$3)\sf\frac{d(e^x)}{dx}=e^x$

$4)\sf\frac{d(\tan\:x)}{dx}=\sec^2\:x$