What is the derivative of 8x^4+7sin(x) ?

The derivative of 8x^4+7sin(x) is 32x^3+7cos(x)

What is the first derivative of 8x^4+7sin(x) ?

The first derivative of 8x^4+7sin(x) is 32x^3+7cos(x)

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derivative of

8 x^{4} + 7 sin (x)

32 x^{3} + 7 cos (x)

Solution steps

\frac{d}{d x} (8 x^{4} + 7 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{4}) + \frac{d}{d x} (7 sin (x))

\frac{d}{d x} (8 x^{4}) = 32 x^{3}

\frac{d}{d x} (7 sin (x)) = 7 cos (x)

= 32 x^{3} + 7 cos (x)

What is the derivative of 8x^4+7sin(x) ?
The derivative of 8x^4+7sin(x) is 32x^3+7cos(x)
What is the first derivative of 8x^4+7sin(x) ?
The first derivative of 8x^4+7sin(x) is 32x^3+7cos(x)