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Popular >

derivative of f(x)=-16x^{3/2}+6x^{1.7}+x

Solution

derivative of

f (x) = - 16 x^{\frac{3}{2}} + 6 x^{1.7} + x

Solution

- 24 x^{\frac{1}{2}} + 10.2 x^{0.7} + 1

Solution steps

\frac{d}{d x} (- 16 x^{\frac{3}{2}} + 6 x^{1.7} + x)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (16 x^{\frac{3}{2}}) + \frac{d}{d x} (6 x^{1.7}) + \frac{d x}{d x}

\frac{d}{d x} (16 x^{\frac{3}{2}}) = 24 x^{\frac{1}{2}}

\frac{d}{d x} (6 x^{1.7}) = 10.2 x^{0.7}

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

= - 24 x^{\frac{1}{2}} + 10.2 x^{0.7} + 1

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-16x^{3/2}+6x^{1.7}+x ?
The derivative of f(x)=-16x^{3/2}+6x^{1.7}+x is -24x^{1/2}+10.2x^{0.7}+1
What is the first derivative of f(x)=-16x^{3/2}+6x^{1.7}+x ?
The first derivative of f(x)=-16x^{3/2}+6x^{1.7}+x is -24x^{1/2}+10.2x^{0.7}+1