What is the derivative of f(x)=-12x^{3/2}+7x^{1.7}+x ?

The derivative of f(x)=-12x^{3/2}+7x^{1.7}+x is -18x^{1/2}+11.9x^{0.7}+1

What is the first derivative of f(x)=-12x^{3/2}+7x^{1.7}+x ?

The first derivative of f(x)=-12x^{3/2}+7x^{1.7}+x is -18x^{1/2}+11.9x^{0.7}+1

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derivative of

f (x) = - 12 x^{\frac{3}{2}} + 7 x^{1.7} + x

- 18 x^{\frac{1}{2}} + 11.9 x^{0.7} + 1

Solution steps

\frac{d}{d x} (- 12 x^{\frac{3}{2}} + 7 x^{1.7} + x)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (12 x^{\frac{3}{2}}) + \frac{d}{d x} (7 x^{1.7}) + \frac{d x}{d x}

\frac{d}{d x} (12 x^{\frac{3}{2}}) = 18 x^{\frac{1}{2}}

\frac{d}{d x} (7 x^{1.7}) = 11.9 x^{0.7}

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

= - 18 x^{\frac{1}{2}} + 11.9 x^{0.7} + 1

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x^{2} + 2, x + 2

What is the derivative of f(x)=-12x^{3/2}+7x^{1.7}+x ?
The derivative of f(x)=-12x^{3/2}+7x^{1.7}+x is -18x^{1/2}+11.9x^{0.7}+1
What is the first derivative of f(x)=-12x^{3/2}+7x^{1.7}+x ?
The first derivative of f(x)=-12x^{3/2}+7x^{1.7}+x is -18x^{1/2}+11.9x^{0.7}+1