What is the derivative of w(x/(50-F(w,x))) ?

The derivative of w(x/(50-F(w,x))) is w(1/50-derivative of {F}(w,x))

What is the first derivative of w(x/(50-F(w,x))) ?

The first derivative of w(x/(50-F(w,x))) is w(1/50-derivative of {F}(w,x))

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\frac{d}{d x} (w (\frac{x}{50} - F (w, x)))

w (\frac{1}{50} - \frac{d}{d x} (F (w, x)))

Solution steps

\frac{d}{d x} (w (\frac{x}{50} - F (w, x)))

Treat

w

as a constant

Take the constant out:

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

= w \frac{d}{d x} (\frac{x}{50} - F (w, x))

Apply the Sum/Difference Rule:

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

= w (\frac{d}{d x} (\frac{x}{50}) - \frac{d}{d x} (F (w, x)))

\frac{d}{d x} (\frac{x}{50}) = \frac{1}{50}

= w (\frac{1}{50} - \frac{d}{d x} (F (w, x)))

e^{x}, x^{2} - 1, - 1, 1

n = 0 \sum \infty \frac{6}{4 ^{n}}

\int x e^{x + y} d x

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

x \to 2 lim (\frac{5}{x} - 8)

What is the derivative of w(x/(50-F(w,x))) ?
The derivative of w(x/(50-F(w,x))) is w(1/50-derivative of {F}(w,x))
What is the first derivative of w(x/(50-F(w,x))) ?
The first derivative of w(x/(50-F(w,x))) is w(1/50-derivative of {F}(w,x))