What is the derivative of k*x^2-sqrt(2x)+1 ?

The derivative of k*x^2-sqrt(2x)+1 is 2kx-1/(sqrt(2)\sqrt{x)}

What is the first derivative of k*x^2-sqrt(2x)+1 ?

The first derivative of k*x^2-sqrt(2x)+1 is 2kx-1/(sqrt(2)\sqrt{x)}

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

2 k x - \frac{1}{2 x}

Solution steps

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

Simplify

k x^{2} - 2 x + 1 : k x^{2} - 2 x + 1

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x) = \frac{1}{2 x}

\frac{d}{d x} (1) = 0

= 2 k x - \frac{1}{2 x} + 0

Simplify

= 2 k x - \frac{1}{2 x}

sin^{2} (x + 4)

x y + 1

\frac{sec ( y )}{y ^{2}}

\frac{d}{d t} (5 t^{3} - 10 t)

4^{x} + 1

What is the derivative of k*x^2-sqrt(2x)+1 ?
The derivative of k*x^2-sqrt(2x)+1 is 2kx-1/(sqrt(2)\sqrt{x)}
What is the first derivative of k*x^2-sqrt(2x)+1 ?
The first derivative of k*x^2-sqrt(2x)+1 is 2kx-1/(sqrt(2)\sqrt{x)}