What is the d/(dh)(2(2+h)^{(2)}+5(2+h)-3) ?

The d/(dh)(2(2+h)^{(2)}+5(2+h)-3) is 4h+13

What is the first d/(dh)(2(2+h)^{(2)}+5(2+h)-3) ?

The first d/(dh)(2(2+h)^{(2)}+5(2+h)-3) is 4h+13

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

4 h + 13

Solution steps

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

Simplify

2 (2 + h)^{(2)} + 5 (2 + h) - 3 : 2 h^{2} + 13 h + 15

= \frac{d}{d h} (2 h^{2} + 13 h + 15)

Apply the Sum/Difference Rule:

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

= \frac{d}{d h} (2 h^{2}) + \frac{d}{d h} (13 h) + \frac{d}{d h} (15)

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

\frac{d}{d h} (13 h) = 13

\frac{d}{d h} (15) = 0

= 4 h + 13 + 0

Simplify

= 4 h + 13

y y^{^{'}} = \frac{t ^{2}}{( 1 + t ^{3} )}

\int x^{3} cosh (x) d x

\int \frac{3 x ^{3} - 8 x ^{2} + 10}{x ( x - 1 ) ^{3}} d x

(y^{2} - x y) d x - x^{2} d y = 0

\frac{d}{d x} (a t)

What is the d/(dh)(2(2+h)^{(2)}+5(2+h)-3) ?
The d/(dh)(2(2+h)^{(2)}+5(2+h)-3) is 4h+13
What is the first d/(dh)(2(2+h)^{(2)}+5(2+h)-3) ?
The first d/(dh)(2(2+h)^{(2)}+5(2+h)-3) is 4h+13