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Popular >

derivative of (1.01)^x+0.33^x

Solution

derivative of

(1.01)^{x} + 0.3 3^{x}

Solution

0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

Solution steps

\frac{d}{d x} (1.0 1^{x} + 0.3 3^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1.0 1^{x}) + \frac{d}{d x} (0.3 3^{x})

\frac{d}{d x} (1.0 1^{x}) = 0.00995 \dots \cdot 1.0 1^{x}

\frac{d}{d x} (0.3 3^{x}) = - 1.10866 \dots \cdot 0.3 3^{x}

= 0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

Popular Examples

derivative of 4*(3/2)^x derivative of

4 \cdot (\frac{3}{2})^{x}

d/(d{r)}((2k)/({r)}+2pi{r}^2)

\frac{d}{d r} (\frac{2 k}{r} + 2 π r^{2})

y^{''}-4y^{''}+2y=0

y^{^{''}} - 4 y^{^{''}} + 2 y = 0

tangent of f(x)=x^2-4,\at x=1 tangent of

f (x) = x^{2} - 4, at x = 1

(y^2+9)dx-1/((2x+1)^2)dy=0

(y^{2} + 9) d x - \frac{1}{( 2 x + 1 ) ^{2}} d y = 0

Frequently Asked Questions (FAQ)

What is the derivative of (1.01)^x+0.33^x ?
The derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x
What is the first derivative of (1.01)^x+0.33^x ?
The first derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x