Question

Differentiate it → $\sf \red{{2}^{x} + }3{x}^{2} + 5x + 1000000$ ​

Answer 1

Question:

$Differentiate \: it \\ \sf \red{{2}^{x} + }3{x}^{2} + 5x + 100$

Answer:

$\implies {2}^{x} + 3 {x}^{2} + 5x + 1000000 \\ \\ \: diff.w.r.t.x \\ \\ \implies \: {2}^{x} log2 + 6x + 5 + 0$

${2}^{x } log2+ 6x + 5$

Answer 2

Let

y = 2^x + 3x^2 + 5x + 100000

differentiating with respect to X we get

dy/dx = 2^x*log2+ 6x + 5

So answer is

2^x*log2+ 6x + 5

To know how it is solved

y = 2^x

logy = xlog2

differentiating with respect to

dy/ydx = log2

Dy/dx = y*log2

dy/dx = 2^x log2

differentiation of constant is 0