What is the derivative of 4x^2-sin(x) ?

The derivative of 4x^2-sin(x) is 8x-cos(x)

What is the first derivative of 4x^2-sin(x) ?

The first derivative of 4x^2-sin(x) is 8x-cos(x)

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\frac{d}{d x} (4 x^{2} - sin (x))

8 x - cos (x)

Solution steps

\frac{d}{d x} (4 x^{2} - sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (sin (x))

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (sin (x)) = cos (x)

= 8 x - cos (x)

\frac{d}{d x} (A x e^{- 3 x})

\int \frac{csc ( θ ) cot ( θ )}{5 - 4 csc ( θ )} d θ

f (x) = e^{6 x}

(x + 2) d t = 2 t + 3 d x

\frac{\partial}{\partial x} (\frac{x ^{2}}{4})

What is the derivative of 4x^2-sin(x) ?
The derivative of 4x^2-sin(x) is 8x-cos(x)
What is the first derivative of 4x^2-sin(x) ?
The first derivative of 4x^2-sin(x) is 8x-cos(x)