What is the derivative of y=0.7(1.02)^x ?

The derivative of y=0.7(1.02)^x is 0.01386…*1.02^x

What is the first derivative of y=0.7(1.02)^x ?

The first derivative of y=0.7(1.02)^x is 0.01386…*1.02^x

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derivative of

y = 0.7 (1.02)^{x}

0.01386 \dots \cdot 1.0 2^{x}

Solution steps

\frac{d}{d x} (0.7 \cdot 1.0 2^{x})

Take the constant out:

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

= 0.7 \frac{d}{d x} (1.0 2^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 0.7 \cdot 1.0 2^{x} ln (1.02)

Simplify

0.7 \cdot 1.0 2^{x} ln (1.02) : 0.01386 \dots \cdot 1.0 2^{x}

= 0.01386 \dots \cdot 1.0 2^{x}

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

\frac{d y}{d x} = y (0.1 - 1 0^{- 7} y)

\frac{d}{d x} (ln ∣ x - 1 ∣ - ln ∣ x - 3 ∣)

\int arccsc (\frac{t}{2}) d t

x \to 2 lim (x^{2})

What is the derivative of y=0.7(1.02)^x ?
The derivative of y=0.7(1.02)^x is 0.01386…*1.02^x
What is the first derivative of y=0.7(1.02)^x ?
The first derivative of y=0.7(1.02)^x is 0.01386…*1.02^x