What is the derivative of y=(7sqrt(x)+3)x^2 ?

The derivative of y=(7sqrt(x)+3)x^2 is (7x^{3/2})/2+2x(7sqrt(x)+3)

What is the first derivative of y=(7sqrt(x)+3)x^2 ?

The first derivative of y=(7sqrt(x)+3)x^2 is (7x^{3/2})/2+2x(7sqrt(x)+3)

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derivative of

y = (7 x + 3) x^{2}

\frac{7 x ^{\frac{3}{2}}}{2} + 2 x (7 x + 3)

Solution steps

\frac{d}{d x} ((7 x + 3) x^{2})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 7 x + 3, g = x^{2}

= \frac{d}{d x} (7 x + 3) x^{2} + \frac{d}{d x} (x^{2}) (7 x + 3)

\frac{d}{d x} (7 x + 3) = \frac{7}{2 x}

\frac{d}{d x} (x^{2}) = 2 x

= \frac{7}{2 x} x^{2} + 2 x (7 x + 3)

\frac{7}{2 x} x^{2} = \frac{7 x ^{\frac{3}{2}}}{2}

= \frac{7 x ^{\frac{3}{2}}}{2} + 2 x (7 x + 3)

cos (x) (\frac{π}{2})

\frac{d}{d x} (5 ln ∣ x - e^{x} ∣)

z \to 1 lim (\frac{z}{2 i})

\frac{d}{d x} (- \frac{3 x + 1}{x ^{2}})

4 (5 - 7 x)^{5}

What is the derivative of y=(7sqrt(x)+3)x^2 ?
The derivative of y=(7sqrt(x)+3)x^2 is (7x^{3/2})/2+2x(7sqrt(x)+3)
What is the first derivative of y=(7sqrt(x)+3)x^2 ?
The first derivative of y=(7sqrt(x)+3)x^2 is (7x^{3/2})/2+2x(7sqrt(x)+3)