What is the derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 ?

The derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 is -7x^2-5x-6xh+10h+12h^2

What is the first derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 ?

The first derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 is -7x^2-5x-6xh+10h+12h^2

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derivative of

- 7 h x^{2} - 5 h x - 3 h^{2} x + 5 h^{2} + 4 h^{3}

- 7 x^{2} - 5 x - 6 x h + 10 h + 12 h^{2}

Solution steps

\frac{d}{d h} (- 7 h x^{2} - 5 h x - 3 h^{2} x + 5 h^{2} + 4 h^{3})

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d h} (7 h x^{2}) - \frac{d}{d h} (5 h x) - \frac{d}{d h} (3 h^{2} x) + \frac{d}{d h} (5 h^{2}) + \frac{d}{d h} (4 h^{3})

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

\frac{d}{d h} (5 h x) = 5 x

\frac{d}{d h} (3 h^{2} x) = 6 x h

\frac{d}{d h} (5 h^{2}) = 10 h

\frac{d}{d h} (4 h^{3}) = 12 h^{2}

= - 7 x^{2} - 5 x - 6 x h + 10 h + 12 h^{2}

What is the derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 ?
The derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 is -7x^2-5x-6xh+10h+12h^2
What is the first derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 ?
The first derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3 is -7x^2-5x-6xh+10h+12h^2