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Popular >

derivative of 10sqrt(0.6x+7)

Solution

\frac{d}{d x} (10 0.6 x + 7)

Solution

\frac{3}{0.6 x + 7}

Solution steps

\frac{d}{d x} (10 0.6 x + 7)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (0.6 x + 7)

Apply the chain rule:

\frac{1}{2 0.6 x + 7} \frac{d}{d x} (0.6 x + 7)

= \frac{1}{2 0.6 x + 7} \frac{d}{d x} (0.6 x + 7)

\frac{d}{d x} (0.6 x + 7) = 0.6

= 10 \cdot \frac{1}{2 0.6 x + 7} \cdot 0.6

Simplify

10 \cdot \frac{1}{2 0.6 x + 7} \cdot 0.6 : \frac{3}{0.6 x + 7}

= \frac{3}{0.6 x + 7}

Popular Examples

tangent of f(x)=sqrt(x^2+40),\at x=3 tangent of

f (x) = x^{2} + 40, at x = 3

(dy)/(dx)+7(tan(7x))y=2cos(7x)

\frac{d y}{d x} + 7 (tan (7 x)) y = 2 cos (7 x)

limit as x approaches-4 of 8-x

x \to - 4 lim (8 - x)

implicit (dy)/(dx),x^2=y^2 implicit derivative

\frac{d y}{d x}, x^{2} = y^{2}

integral of (6^{sqrt(x)})/(sqrt(x))

\int \frac{6 ^{x}}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 10sqrt(0.6x+7) ?
The derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))
What is the first derivative of 10sqrt(0.6x+7) ?
The first derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))