what-is-the-derivative-of-qx-253-5-x

Question

What is the derivative of q(x)=253+5−xq\left(x\right)=\frac{25}{$$3+5^{-x}$$}?

Accepted Answer

q′(x)=25ln⁡(5)⋅5−x(3+5−$$x)2q^{\prime}$$\left(x\right)=\frac{25\ln\left(5\right)\$$cdot5^{-x}$$}{\$$left(3+5^{-x}$$\$$right)^2$$}

Answer

q′(x)=−ln⁡(5)⋅5−x(3+5−$$x)2q^{\prime}$$\left(x\right)=-\frac{\ln\left(5\right)\$$cdot5^{-x}$$}{\$$left(3+5^{-x}$$\$$right)^2$$}

Answer

q′(x)=ln⁡(5)⋅5−x(3+5−$$x)2q^{\prime}$$\left(x\right)=\frac{\ln\left(5\right)\$$cdot5^{-x}$$}{\$$left(3+5^{-x}$$\$$right)^2$$}

Answer

q′(x)=−25ln⁡(5)⋅5−x(3+5−$$x)2q^{\prime}$$\left(x\right)=-\frac{25\ln\left(5\right)\$$cdot5^{-x}$$}{\$$left(3+5^{-x}$$\$$right)^2$$}

What is the derivative of q(x)=253+5−xq\(\left\)(x\(\right\))=\(\frac{25}{3+5^{-x}\)}?