What is the derivative of 33(10sqrt(x)-x+10.45) ?

The derivative of 33(10sqrt(x)-x+10.45) is 33(5/(sqrt(x))-1)

What is the first derivative of 33(10sqrt(x)-x+10.45) ?

The first derivative of 33(10sqrt(x)-x+10.45) is 33(5/(sqrt(x))-1)

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\frac{d}{d x} (33 (10 x - x + 10.45))

33 (\frac{5}{x} - 1)

Solution steps

\frac{d}{d x} (33 (10 x - x + 10.45))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 33 \frac{d}{d x} (10 x - x + 10.45)

Apply the Sum/Difference Rule:

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

= 33 (\frac{d}{d x} (10 x) - \frac{d x}{d x} + \frac{d}{d x} (10.45))

\frac{d}{d x} (10 x) = \frac{5}{x}

\frac{d x}{d x} = 1

\frac{d}{d x} (10.45) = 0

= 33 (\frac{5}{x} - 1 + 0)

Simplify

= 33 (\frac{5}{x} - 1)

x \to 3 + lim (\frac{x - 4}{3 - x})

\frac{d}{d t} (5 t)

lo g_{10} (x + 1)

y = - 3 x^{2} + 6 x + 9, - 3 \leq x \leq 3

u

What is the derivative of 33(10sqrt(x)-x+10.45) ?
The derivative of 33(10sqrt(x)-x+10.45) is 33(5/(sqrt(x))-1)
What is the first derivative of 33(10sqrt(x)-x+10.45) ?
The first derivative of 33(10sqrt(x)-x+10.45) is 33(5/(sqrt(x))-1)