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derivative of 7x^4sqrt(x)+3/(x^3sqrt(x))

Question

derivative of 7x^4sqrt(x)+3/(x^3sqrt(x))

check_circleAnswer
Step 1

Let's call the given expression as y. 

Also recall the rule of exponents: Pa x Pb = Pa+b

Please see the white board.

3
y7x4+1/2
+
3+1/2
y7x2 3x-7/2
help_outline

Image Transcriptionclose

3 y7x4+1/2 + 3+1/2 y7x2 3x-7/2

fullscreen
Step 2

Recall the famous rule of differentiation: d(xn) / dx = nxn-1...

9
7x
dy
2-143x -7/2-1
dx
219/2
63 7/2
dy
2
2
da
help_outline

Image Transcriptionclose

9 7x dy 2-143x -7/2-1 dx 219/2 63 7/2 dy 2 2 da

fullscreen

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Tagged in

Math

Calculus

Derivative

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